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Finding the Fourth Proportional to 11,600.43, 16,007.49 and 6,565.02

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Solution

The fourth proportional to 11,600.43, 16,007.49 and 6,565.02 is: 9,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.43 : 16,007.49 = 6,565.02 : x
  2. Step 2: Convert to fraction form
    11,600.43/16,007.49 = 6,565.02/x
  3. Step 3: Cross multiply
    11,600.43x = 16,007.49 × 6,565.02
  4. Step 4: Simplify right side
    11,600.43x = 105,089,492.00
  5. Step 5: Solve for x
    x = 105,089,492.00/11,600.43
  6. Step 6: Final answer
    x = 9,059.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.