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Finding the Fourth Proportional to 10,287.99, 15,432.86 and 4,047.62

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Solution

The fourth proportional to 10,287.99, 15,432.86 and 4,047.62 is: 6,071.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.99 : 15,432.86 = 4,047.62 : x
  2. Step 2: Convert to fraction form
    10,287.99/15,432.86 = 4,047.62/x
  3. Step 3: Cross multiply
    10,287.99x = 15,432.86 × 4,047.62
  4. Step 4: Simplify right side
    10,287.99x = 62,466,285.75
  5. Step 5: Solve for x
    x = 62,466,285.75/10,287.99
  6. Step 6: Final answer
    x = 6,071.77

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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.