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Finding the Fourth Proportional to 7,685.78, 10,606.14 and 4,700.93

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Solution

The fourth proportional to 7,685.78, 10,606.14 and 4,700.93 is: 6,487.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,685.78 : 10,606.14 = 4,700.93 : x
  2. Step 2: Convert to fraction form
    7,685.78/10,606.14 = 4,700.93/x
  3. Step 3: Cross multiply
    7,685.78x = 10,606.14 × 4,700.93
  4. Step 4: Simplify right side
    7,685.78x = 49,858,668.68
  5. Step 5: Solve for x
    x = 49,858,668.68/7,685.78
  6. Step 6: Final answer
    x = 6,487.14

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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.