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Finding the Fourth Proportional to 7,147.81, 10,678.10 and 5,688.59

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Solution

The fourth proportional to 7,147.81, 10,678.10 and 5,688.59 is: 8,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.81 : 10,678.10 = 5,688.59 : x
  2. Step 2: Convert to fraction form
    7,147.81/10,678.10 = 5,688.59/x
  3. Step 3: Cross multiply
    7,147.81x = 10,678.10 × 5,688.59
  4. Step 4: Simplify right side
    7,147.81x = 60,743,332.88
  5. Step 5: Solve for x
    x = 60,743,332.88/7,147.81
  6. Step 6: Final answer
    x = 8,498.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.