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Finding the Fourth Proportional to 10,510.83, 15,680.15 and 10,224.83

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Solution

The fourth proportional to 10,510.83, 15,680.15 and 10,224.83 is: 15,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.83 : 15,680.15 = 10,224.83 : x
  2. Step 2: Convert to fraction form
    10,510.83/15,680.15 = 10,224.83/x
  3. Step 3: Cross multiply
    10,510.83x = 15,680.15 × 10,224.83
  4. Step 4: Simplify right side
    10,510.83x = 160,326,894.54
  5. Step 5: Solve for x
    x = 160,326,894.54/10,510.83
  6. Step 6: Final answer
    x = 15,253.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.