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Finding the Fourth Proportional to 11,864.42, 16,372.02 and 6,559.16

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Solution

The fourth proportional to 11,864.42, 16,372.02 and 6,559.16 is: 9,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.42 : 16,372.02 = 6,559.16 : x
  2. Step 2: Convert to fraction form
    11,864.42/16,372.02 = 6,559.16/x
  3. Step 3: Cross multiply
    11,864.42x = 16,372.02 × 6,559.16
  4. Step 4: Simplify right side
    11,864.42x = 107,386,698.70
  5. Step 5: Solve for x
    x = 107,386,698.70/11,864.42
  6. Step 6: Final answer
    x = 9,051.15

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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.