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Finding the Fourth Proportional to 10,482.24, 15,723.18 and 4,242.18

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Solution

The fourth proportional to 10,482.24, 15,723.18 and 4,242.18 is: 6,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.24 : 15,723.18 = 4,242.18 : x
  2. Step 2: Convert to fraction form
    10,482.24/15,723.18 = 4,242.18/x
  3. Step 3: Cross multiply
    10,482.24x = 15,723.18 × 4,242.18
  4. Step 4: Simplify right side
    10,482.24x = 66,700,559.73
  5. Step 5: Solve for x
    x = 66,700,559.73/10,482.24
  6. Step 6: Final answer
    x = 6,363.20

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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.