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Finding the Fourth Proportional to 10,590.84, 14,614.29 and 6,116.02

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Solution

The fourth proportional to 10,590.84, 14,614.29 and 6,116.02 is: 8,439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.84 : 14,614.29 = 6,116.02 : x
  2. Step 2: Convert to fraction form
    10,590.84/14,614.29 = 6,116.02/x
  3. Step 3: Cross multiply
    10,590.84x = 14,614.29 × 6,116.02
  4. Step 4: Simplify right side
    10,590.84x = 89,381,253.39
  5. Step 5: Solve for x
    x = 89,381,253.39/10,590.84
  6. Step 6: Final answer
    x = 8,439.49

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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.