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Finding the Fourth Proportional to 10,522.59, 15,772.91 and 4,280.10

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Solution

The fourth proportional to 10,522.59, 15,772.91 and 4,280.10 is: 6,415.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.59 : 15,772.91 = 4,280.10 : x
  2. Step 2: Convert to fraction form
    10,522.59/15,772.91 = 4,280.10/x
  3. Step 3: Cross multiply
    10,522.59x = 15,772.91 × 4,280.10
  4. Step 4: Simplify right side
    10,522.59x = 67,509,610.69
  5. Step 5: Solve for x
    x = 67,509,610.69/10,522.59
  6. Step 6: Final answer
    x = 6,415.68

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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.