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Finding the Fourth Proportional to 7,128.56, 10,686.18 and 3,177.74

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Solution

The fourth proportional to 7,128.56, 10,686.18 and 3,177.74 is: 4,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.56 : 10,686.18 = 3,177.74 : x
  2. Step 2: Convert to fraction form
    7,128.56/10,686.18 = 3,177.74/x
  3. Step 3: Cross multiply
    7,128.56x = 10,686.18 × 3,177.74
  4. Step 4: Simplify right side
    7,128.56x = 33,957,901.63
  5. Step 5: Solve for x
    x = 33,957,901.63/7,128.56
  6. Step 6: Final answer
    x = 4,763.64

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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.