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Finding the Fourth Proportional to 7,716.74, 10,654.29 and 5,068.62

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Solution

The fourth proportional to 7,716.74, 10,654.29 and 5,068.62 is: 6,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.74 : 10,654.29 = 5,068.62 : x
  2. Step 2: Convert to fraction form
    7,716.74/10,654.29 = 5,068.62/x
  3. Step 3: Cross multiply
    7,716.74x = 10,654.29 × 5,068.62
  4. Step 4: Simplify right side
    7,716.74x = 54,002,547.38
  5. Step 5: Solve for x
    x = 54,002,547.38/7,716.74
  6. Step 6: Final answer
    x = 6,998.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.