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Finding the Fourth Proportional to 7,005.31, 10,497.62 and 3,881.53

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Solution

The fourth proportional to 7,005.31, 10,497.62 and 3,881.53 is: 5,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,005.31 : 10,497.62 = 3,881.53 : x
  2. Step 2: Convert to fraction form
    7,005.31/10,497.62 = 3,881.53/x
  3. Step 3: Cross multiply
    7,005.31x = 10,497.62 × 3,881.53
  4. Step 4: Simplify right side
    7,005.31x = 40,746,807.55
  5. Step 5: Solve for x
    x = 40,746,807.55/7,005.31
  6. Step 6: Final answer
    x = 5,816.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.