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Finding the Fourth Proportional to 10,023.32, 15,031.74 and 5,863.16

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Solution

The fourth proportional to 10,023.32, 15,031.74 and 5,863.16 is: 8,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.32 : 15,031.74 = 5,863.16 : x
  2. Step 2: Convert to fraction form
    10,023.32/15,031.74 = 5,863.16/x
  3. Step 3: Cross multiply
    10,023.32x = 15,031.74 × 5,863.16
  4. Step 4: Simplify right side
    10,023.32x = 88,133,496.70
  5. Step 5: Solve for x
    x = 88,133,496.70/10,023.32
  6. Step 6: Final answer
    x = 8,792.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.