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Finding the Fourth Proportional to 10,482.60, 15,731.18 and 6,775.62

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Solution

The fourth proportional to 10,482.60, 15,731.18 and 6,775.62 is: 10,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.60 : 15,731.18 = 6,775.62 : x
  2. Step 2: Convert to fraction form
    10,482.60/15,731.18 = 6,775.62/x
  3. Step 3: Cross multiply
    10,482.60x = 15,731.18 × 6,775.62
  4. Step 4: Simplify right side
    10,482.60x = 106,588,497.83
  5. Step 5: Solve for x
    x = 106,588,497.83/10,482.60
  6. Step 6: Final answer
    x = 10,168.14

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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.