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Finding the Fourth Proportional to 10,770.91, 14,864.04 and 5,925.83

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Solution

The fourth proportional to 10,770.91, 14,864.04 and 5,925.83 is: 8,177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.91 : 14,864.04 = 5,925.83 : x
  2. Step 2: Convert to fraction form
    10,770.91/14,864.04 = 5,925.83/x
  3. Step 3: Cross multiply
    10,770.91x = 14,864.04 × 5,925.83
  4. Step 4: Simplify right side
    10,770.91x = 88,081,699.83
  5. Step 5: Solve for x
    x = 88,081,699.83/10,770.91
  6. Step 6: Final answer
    x = 8,177.74

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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.