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Finding the Fourth Proportional to 10,088.46, 13,920.74 and 5,611.32

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Solution

The fourth proportional to 10,088.46, 13,920.74 and 5,611.32 is: 7,742.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,088.46 : 13,920.74 = 5,611.32 : x
  2. Step 2: Convert to fraction form
    10,088.46/13,920.74 = 5,611.32/x
  3. Step 3: Cross multiply
    10,088.46x = 13,920.74 × 5,611.32
  4. Step 4: Simplify right side
    10,088.46x = 78,113,726.78
  5. Step 5: Solve for x
    x = 78,113,726.78/10,088.46
  6. Step 6: Final answer
    x = 7,742.88

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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.