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Finding the Fourth Proportional to 10,224, 15,339.70 and 5,033.52

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Solution

The fourth proportional to 10,224, 15,339.70 and 5,033.52 is: 7,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224 : 15,339.70 = 5,033.52 : x
  2. Step 2: Convert to fraction form
    10,224/15,339.70 = 5,033.52/x
  3. Step 3: Cross multiply
    10,224x = 15,339.70 × 5,033.52
  4. Step 4: Simplify right side
    10,224x = 77,212,686.74
  5. Step 5: Solve for x
    x = 77,212,686.74/10,224
  6. Step 6: Final answer
    x = 7,552.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.