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Finding the Fourth Proportional to 10,862.85, 14,990.73 and 5,894.85

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Solution

The fourth proportional to 10,862.85, 14,990.73 and 5,894.85 is: 8,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.85 : 14,990.73 = 5,894.85 : x
  2. Step 2: Convert to fraction form
    10,862.85/14,990.73 = 5,894.85/x
  3. Step 3: Cross multiply
    10,862.85x = 14,990.73 × 5,894.85
  4. Step 4: Simplify right side
    10,862.85x = 88,368,000.31
  5. Step 5: Solve for x
    x = 88,368,000.31/10,862.85
  6. Step 6: Final answer
    x = 8,134.89

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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.