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Finding the Fourth Proportional to 11,602.32, 16,011.17 and 6,566.40

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Solution

The fourth proportional to 11,602.32, 16,011.17 and 6,566.40 is: 9,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.32 : 16,011.17 = 6,566.40 : x
  2. Step 2: Convert to fraction form
    11,602.32/16,011.17 = 6,566.40/x
  3. Step 3: Cross multiply
    11,602.32x = 16,011.17 × 6,566.40
  4. Step 4: Simplify right side
    11,602.32x = 105,135,713.86
  5. Step 5: Solve for x
    x = 105,135,713.86/11,602.32
  6. Step 6: Final answer
    x = 9,061.61

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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.