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Finding the Fourth Proportional to 7,707.47, 10,635.92 and 4,304.25

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Solution

The fourth proportional to 7,707.47, 10,635.92 and 4,304.25 is: 5,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.47 : 10,635.92 = 4,304.25 : x
  2. Step 2: Convert to fraction form
    7,707.47/10,635.92 = 4,304.25/x
  3. Step 3: Cross multiply
    7,707.47x = 10,635.92 × 4,304.25
  4. Step 4: Simplify right side
    7,707.47x = 45,779,658.66
  5. Step 5: Solve for x
    x = 45,779,658.66/7,707.47
  6. Step 6: Final answer
    x = 5,939.65

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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.