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Finding the Fourth Proportional to 7,458.60, 11,159.10 and 4,866.60

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Solution

The fourth proportional to 7,458.60, 11,159.10 and 4,866.60 is: 7,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.60 : 11,159.10 = 4,866.60 : x
  2. Step 2: Convert to fraction form
    7,458.60/11,159.10 = 4,866.60/x
  3. Step 3: Cross multiply
    7,458.60x = 11,159.10 × 4,866.60
  4. Step 4: Simplify right side
    7,458.60x = 54,306,876.06
  5. Step 5: Solve for x
    x = 54,306,876.06/7,458.60
  6. Step 6: Final answer
    x = 7,281.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.