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Finding the Fourth Proportional to 7,533.74, 10,397.18 and 4,177.61

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Solution

The fourth proportional to 7,533.74, 10,397.18 and 4,177.61 is: 5,765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533.74 : 10,397.18 = 4,177.61 : x
  2. Step 2: Convert to fraction form
    7,533.74/10,397.18 = 4,177.61/x
  3. Step 3: Cross multiply
    7,533.74x = 10,397.18 × 4,177.61
  4. Step 4: Simplify right side
    7,533.74x = 43,435,368.36
  5. Step 5: Solve for x
    x = 43,435,368.36/7,533.74
  6. Step 6: Final answer
    x = 5,765.44

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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.