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Finding the Fourth Proportional to 10,577.86, 15,855.32 and 6,882.72

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Solution

The fourth proportional to 10,577.86, 15,855.32 and 6,882.72 is: 10,316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.86 : 15,855.32 = 6,882.72 : x
  2. Step 2: Convert to fraction form
    10,577.86/15,855.32 = 6,882.72/x
  3. Step 3: Cross multiply
    10,577.86x = 15,855.32 × 6,882.72
  4. Step 4: Simplify right side
    10,577.86x = 109,127,728.07
  5. Step 5: Solve for x
    x = 109,127,728.07/10,577.86
  6. Step 6: Final answer
    x = 10,316.62

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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.