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Finding the Fourth Proportional to 7,708.23, 10,642.59 and 5,060.16

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Solution

The fourth proportional to 7,708.23, 10,642.59 and 5,060.16 is: 6,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.23 : 10,642.59 = 5,060.16 : x
  2. Step 2: Convert to fraction form
    7,708.23/10,642.59 = 5,060.16/x
  3. Step 3: Cross multiply
    7,708.23x = 10,642.59 × 5,060.16
  4. Step 4: Simplify right side
    7,708.23x = 53,853,208.21
  5. Step 5: Solve for x
    x = 53,853,208.21/7,708.23
  6. Step 6: Final answer
    x = 6,986.46

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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.