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Finding the Fourth Proportional to 7,691.42, 10,615.13 and 4,335.06

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Solution

The fourth proportional to 7,691.42, 10,615.13 and 4,335.06 is: 5,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.42 : 10,615.13 = 4,335.06 : x
  2. Step 2: Convert to fraction form
    7,691.42/10,615.13 = 4,335.06/x
  3. Step 3: Cross multiply
    7,691.42x = 10,615.13 × 4,335.06
  4. Step 4: Simplify right side
    7,691.42x = 46,017,225.46
  5. Step 5: Solve for x
    x = 46,017,225.46/7,691.42
  6. Step 6: Final answer
    x = 5,982.93

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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.