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Finding the Fourth Proportional to 10,023.16, 15,034.74 and 8,054.86

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Solution

The fourth proportional to 10,023.16, 15,034.74 and 8,054.86 is: 12,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.16 : 15,034.74 = 8,054.86 : x
  2. Step 2: Convert to fraction form
    10,023.16/15,034.74 = 8,054.86/x
  3. Step 3: Cross multiply
    10,023.16x = 15,034.74 × 8,054.86
  4. Step 4: Simplify right side
    10,023.16x = 121,102,725.84
  5. Step 5: Solve for x
    x = 121,102,725.84/10,023.16
  6. Step 6: Final answer
    x = 12,082.29

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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.