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Finding the Fourth Proportional to 10,777.27, 14,869.72 and 6,302.12

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Solution

The fourth proportional to 10,777.27, 14,869.72 and 6,302.12 is: 8,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.27 : 14,869.72 = 6,302.12 : x
  2. Step 2: Convert to fraction form
    10,777.27/14,869.72 = 6,302.12/x
  3. Step 3: Cross multiply
    10,777.27x = 14,869.72 × 6,302.12
  4. Step 4: Simplify right side
    10,777.27x = 93,710,759.81
  5. Step 5: Solve for x
    x = 93,710,759.81/10,777.27
  6. Step 6: Final answer
    x = 8,695.22

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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.