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Finding the Fourth Proportional to 10,561.86, 14,577.14 and 6,084.78

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Solution

The fourth proportional to 10,561.86, 14,577.14 and 6,084.78 is: 8,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.86 : 14,577.14 = 6,084.78 : x
  2. Step 2: Convert to fraction form
    10,561.86/14,577.14 = 6,084.78/x
  3. Step 3: Cross multiply
    10,561.86x = 14,577.14 × 6,084.78
  4. Step 4: Simplify right side
    10,561.86x = 88,698,689.93
  5. Step 5: Solve for x
    x = 88,698,689.93/10,561.86
  6. Step 6: Final answer
    x = 8,398.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.