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Finding the Fourth Proportional to 11,864.57, 16,374.03 and 6,559.88

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Solution

The fourth proportional to 11,864.57, 16,374.03 and 6,559.88 is: 9,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.57 : 16,374.03 = 6,559.88 : x
  2. Step 2: Convert to fraction form
    11,864.57/16,374.03 = 6,559.88/x
  3. Step 3: Cross multiply
    11,864.57x = 16,374.03 × 6,559.88
  4. Step 4: Simplify right side
    11,864.57x = 107,411,671.92
  5. Step 5: Solve for x
    x = 107,411,671.92/11,864.57
  6. Step 6: Final answer
    x = 9,053.14

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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.