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Finding the Fourth Proportional to 10,023.62, 13,830.10 and 6,482.56

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Solution

The fourth proportional to 10,023.62, 13,830.10 and 6,482.56 is: 8,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.62 : 13,830.10 = 6,482.56 : x
  2. Step 2: Convert to fraction form
    10,023.62/13,830.10 = 6,482.56/x
  3. Step 3: Cross multiply
    10,023.62x = 13,830.10 × 6,482.56
  4. Step 4: Simplify right side
    10,023.62x = 89,654,453.06
  5. Step 5: Solve for x
    x = 89,654,453.06/10,023.62
  6. Step 6: Final answer
    x = 8,944.32

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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.