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Finding the Fourth Proportional to 10,727.76, 14,806.08 and 6,535.74

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Solution

The fourth proportional to 10,727.76, 14,806.08 and 6,535.74 is: 9,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727.76 : 14,806.08 = 6,535.74 : x
  2. Step 2: Convert to fraction form
    10,727.76/14,806.08 = 6,535.74/x
  3. Step 3: Cross multiply
    10,727.76x = 14,806.08 × 6,535.74
  4. Step 4: Simplify right side
    10,727.76x = 96,768,689.30
  5. Step 5: Solve for x
    x = 96,768,689.30/10,727.76
  6. Step 6: Final answer
    x = 9,020.40

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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.