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Finding the Fourth Proportional to 10,482.89, 15,726.08 and 5,218.18

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Solution

The fourth proportional to 10,482.89, 15,726.08 and 5,218.18 is: 7,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.89 : 15,726.08 = 5,218.18 : x
  2. Step 2: Convert to fraction form
    10,482.89/15,726.08 = 5,218.18/x
  3. Step 3: Cross multiply
    10,482.89x = 15,726.08 × 5,218.18
  4. Step 4: Simplify right side
    10,482.89x = 82,061,489.86
  5. Step 5: Solve for x
    x = 82,061,489.86/10,482.89
  6. Step 6: Final answer
    x = 7,828.14

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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.