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Finding the Fourth Proportional to 7,153.12, 9,871.04 and 3,966.55

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Solution

The fourth proportional to 7,153.12, 9,871.04 and 3,966.55 is: 5,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.12 : 9,871.04 = 3,966.55 : x
  2. Step 2: Convert to fraction form
    7,153.12/9,871.04 = 3,966.55/x
  3. Step 3: Cross multiply
    7,153.12x = 9,871.04 × 3,966.55
  4. Step 4: Simplify right side
    7,153.12x = 39,153,904.52
  5. Step 5: Solve for x
    x = 39,153,904.52/7,153.12
  6. Step 6: Final answer
    x = 5,473.69

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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.