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Finding the Fourth Proportional to 7,455.92, 10,279.86 and 5,684.72

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Solution

The fourth proportional to 7,455.92, 10,279.86 and 5,684.72 is: 7,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,455.92 : 10,279.86 = 5,684.72 : x
  2. Step 2: Convert to fraction form
    7,455.92/10,279.86 = 5,684.72/x
  3. Step 3: Cross multiply
    7,455.92x = 10,279.86 × 5,684.72
  4. Step 4: Simplify right side
    7,455.92x = 58,438,125.74
  5. Step 5: Solve for x
    x = 58,438,125.74/7,455.92
  6. Step 6: Final answer
    x = 7,837.82

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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.