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Finding the Fourth Proportional to 10,862.13, 14,989.74 and 5,894.13

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Solution

The fourth proportional to 10,862.13, 14,989.74 and 5,894.13 is: 8,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,862.13 : 14,989.74 = 5,894.13 : x
  2. Step 2: Convert to fraction form
    10,862.13/14,989.74 = 5,894.13/x
  3. Step 3: Cross multiply
    10,862.13x = 14,989.74 × 5,894.13
  4. Step 4: Simplify right side
    10,862.13x = 88,351,476.23
  5. Step 5: Solve for x
    x = 88,351,476.23/10,862.13
  6. Step 6: Final answer
    x = 8,133.90

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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.