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Finding the Fourth Proportional to 10,059.28, 15,069.30 and 6,586

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Solution

The fourth proportional to 10,059.28, 15,069.30 and 6,586 is: 9,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.28 : 15,069.30 = 6,586 : x
  2. Step 2: Convert to fraction form
    10,059.28/15,069.30 = 6,586/x
  3. Step 3: Cross multiply
    10,059.28x = 15,069.30 × 6,586
  4. Step 4: Simplify right side
    10,059.28x = 99,246,409.80
  5. Step 5: Solve for x
    x = 99,246,409.80/10,059.28
  6. Step 6: Final answer
    x = 9,866.15

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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.