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Finding the Fourth Proportional to 10,524.66, 15,796.72 and 5,334.18

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Solution

The fourth proportional to 10,524.66, 15,796.72 and 5,334.18 is: 8,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.66 : 15,796.72 = 5,334.18 : x
  2. Step 2: Convert to fraction form
    10,524.66/15,796.72 = 5,334.18/x
  3. Step 3: Cross multiply
    10,524.66x = 15,796.72 × 5,334.18
  4. Step 4: Simplify right side
    10,524.66x = 84,262,547.89
  5. Step 5: Solve for x
    x = 84,262,547.89/10,524.66
  6. Step 6: Final answer
    x = 8,006.20

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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.