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Finding the Fourth Proportional to 7,454.85, 10,287.93 and 4,098.02

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Solution

The fourth proportional to 7,454.85, 10,287.93 and 4,098.02 is: 5,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.85 : 10,287.93 = 4,098.02 : x
  2. Step 2: Convert to fraction form
    7,454.85/10,287.93 = 4,098.02/x
  3. Step 3: Cross multiply
    7,454.85x = 10,287.93 × 4,098.02
  4. Step 4: Simplify right side
    7,454.85x = 42,160,091.46
  5. Step 5: Solve for x
    x = 42,160,091.46/7,454.85
  6. Step 6: Final answer
    x = 5,655.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.