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Finding the Fourth Proportional to 10,589.72, 14,612.74 and 6,114.89

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Solution

The fourth proportional to 10,589.72, 14,612.74 and 6,114.89 is: 8,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.72 : 14,612.74 = 6,114.89 : x
  2. Step 2: Convert to fraction form
    10,589.72/14,612.74 = 6,114.89/x
  3. Step 3: Cross multiply
    10,589.72x = 14,612.74 × 6,114.89
  4. Step 4: Simplify right side
    10,589.72x = 89,355,318.94
  5. Step 5: Solve for x
    x = 89,355,318.94/10,589.72
  6. Step 6: Final answer
    x = 8,437.93

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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.