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Finding the Fourth Proportional to 10,088.68, 13,920.18 and 5,894.44

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Solution

The fourth proportional to 10,088.68, 13,920.18 and 5,894.44 is: 8,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.68 : 13,920.18 = 5,894.44 : x
  2. Step 2: Convert to fraction form
    10,088.68/13,920.18 = 5,894.44/x
  3. Step 3: Cross multiply
    10,088.68x = 13,920.18 × 5,894.44
  4. Step 4: Simplify right side
    10,088.68x = 82,051,665.80
  5. Step 5: Solve for x
    x = 82,051,665.80/10,088.68
  6. Step 6: Final answer
    x = 8,133.04

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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.