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Finding the Fourth Proportional to 7,708.64, 10,642.50 and 5,060.69

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Solution

The fourth proportional to 7,708.64, 10,642.50 and 5,060.69 is: 6,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.64 : 10,642.50 = 5,060.69 : x
  2. Step 2: Convert to fraction form
    7,708.64/10,642.50 = 5,060.69/x
  3. Step 3: Cross multiply
    7,708.64x = 10,642.50 × 5,060.69
  4. Step 4: Simplify right side
    7,708.64x = 53,858,340.11
  5. Step 5: Solve for x
    x = 53,858,340.11/7,708.64
  6. Step 6: Final answer
    x = 6,986.75

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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.