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Finding the Fourth Proportional to 10,860.75, 14,987.84 and 5,892.75

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Solution

The fourth proportional to 10,860.75, 14,987.84 and 5,892.75 is: 8,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860.75 : 14,987.84 = 5,892.75 : x
  2. Step 2: Convert to fraction form
    10,860.75/14,987.84 = 5,892.75/x
  3. Step 3: Cross multiply
    10,860.75x = 14,987.84 × 5,892.75
  4. Step 4: Simplify right side
    10,860.75x = 88,319,564.70
  5. Step 5: Solve for x
    x = 88,319,564.70/10,860.75
  6. Step 6: Final answer
    x = 8,132.00

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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.