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Finding the Fourth Proportional to 6,864.27, 10,302.18 and 5,308.47

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Solution

The fourth proportional to 6,864.27, 10,302.18 and 5,308.47 is: 7,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.27 : 10,302.18 = 5,308.47 : x
  2. Step 2: Convert to fraction form
    6,864.27/10,302.18 = 5,308.47/x
  3. Step 3: Cross multiply
    6,864.27x = 10,302.18 × 5,308.47
  4. Step 4: Simplify right side
    6,864.27x = 54,688,813.46
  5. Step 5: Solve for x
    x = 54,688,813.46/6,864.27
  6. Step 6: Final answer
    x = 7,967.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.