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Finding the Fourth Proportional to 7,447.14, 10,281.87 and 4,618.08

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Solution

The fourth proportional to 7,447.14, 10,281.87 and 4,618.08 is: 6,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.14 : 10,281.87 = 4,618.08 : x
  2. Step 2: Convert to fraction form
    7,447.14/10,281.87 = 4,618.08/x
  3. Step 3: Cross multiply
    7,447.14x = 10,281.87 × 4,618.08
  4. Step 4: Simplify right side
    7,447.14x = 47,482,498.21
  5. Step 5: Solve for x
    x = 47,482,498.21/7,447.14
  6. Step 6: Final answer
    x = 6,375.94

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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.