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Finding the Fourth Proportional to 7,458.66, 10,293.30 and 4,314.24

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Solution

The fourth proportional to 7,458.66, 10,293.30 and 4,314.24 is: 5,953.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.66 : 10,293.30 = 4,314.24 : x
  2. Step 2: Convert to fraction form
    7,458.66/10,293.30 = 4,314.24/x
  3. Step 3: Cross multiply
    7,458.66x = 10,293.30 × 4,314.24
  4. Step 4: Simplify right side
    7,458.66x = 44,407,766.59
  5. Step 5: Solve for x
    x = 44,407,766.59/7,458.66
  6. Step 6: Final answer
    x = 5,953.85

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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.