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Finding the Fourth Proportional to 10,510.10, 15,751.54 and 4,262.82

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Solution

The fourth proportional to 10,510.10, 15,751.54 and 4,262.82 is: 6,388.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.10 : 15,751.54 = 4,262.82 : x
  2. Step 2: Convert to fraction form
    10,510.10/15,751.54 = 4,262.82/x
  3. Step 3: Cross multiply
    10,510.10x = 15,751.54 × 4,262.82
  4. Step 4: Simplify right side
    10,510.10x = 67,145,979.74
  5. Step 5: Solve for x
    x = 67,145,979.74/10,510.10
  6. Step 6: Final answer
    x = 6,388.71

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