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Finding the Fourth Proportional to 8,264.16, 11,404.68 and 4,727.40

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Solution

The fourth proportional to 8,264.16, 11,404.68 and 4,727.40 is: 6,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.16 : 11,404.68 = 4,727.40 : x
  2. Step 2: Convert to fraction form
    8,264.16/11,404.68 = 4,727.40/x
  3. Step 3: Cross multiply
    8,264.16x = 11,404.68 × 4,727.40
  4. Step 4: Simplify right side
    8,264.16x = 53,914,484.23
  5. Step 5: Solve for x
    x = 53,914,484.23/8,264.16
  6. Step 6: Final answer
    x = 6,523.89

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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.