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Finding the Fourth Proportional to 10,403.62, 15,590.84 and 4,843.78

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Solution

The fourth proportional to 10,403.62, 15,590.84 and 4,843.78 is: 7,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.62 : 15,590.84 = 4,843.78 : x
  2. Step 2: Convert to fraction form
    10,403.62/15,590.84 = 4,843.78/x
  3. Step 3: Cross multiply
    10,403.62x = 15,590.84 × 4,843.78
  4. Step 4: Simplify right side
    10,403.62x = 75,518,598.98
  5. Step 5: Solve for x
    x = 75,518,598.98/10,403.62
  6. Step 6: Final answer
    x = 7,258.88

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