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Finding the Fourth Proportional to 10,486.16, 15,728.04 and 4,561.82

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Solution

The fourth proportional to 10,486.16, 15,728.04 and 4,561.82 is: 6,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.16 : 15,728.04 = 4,561.82 : x
  2. Step 2: Convert to fraction form
    10,486.16/15,728.04 = 4,561.82/x
  3. Step 3: Cross multiply
    10,486.16x = 15,728.04 × 4,561.82
  4. Step 4: Simplify right side
    10,486.16x = 71,748,487.43
  5. Step 5: Solve for x
    x = 71,748,487.43/10,486.16
  6. Step 6: Final answer
    x = 6,842.21

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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.