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Finding the Fourth Proportional to 7,530.68, 10,401.06 and 5,008.42

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Solution

The fourth proportional to 7,530.68, 10,401.06 and 5,008.42 is: 6,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530.68 : 10,401.06 = 5,008.42 : x
  2. Step 2: Convert to fraction form
    7,530.68/10,401.06 = 5,008.42/x
  3. Step 3: Cross multiply
    7,530.68x = 10,401.06 × 5,008.42
  4. Step 4: Simplify right side
    7,530.68x = 52,092,876.93
  5. Step 5: Solve for x
    x = 52,092,876.93/7,530.68
  6. Step 6: Final answer
    x = 6,917.42

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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.