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Finding the Fourth Proportional to 10,026.61, 15,034.15 and 8,063.17

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Solution

The fourth proportional to 10,026.61, 15,034.15 and 8,063.17 is: 12,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,026.61 : 15,034.15 = 8,063.17 : x
  2. Step 2: Convert to fraction form
    10,026.61/15,034.15 = 8,063.17/x
  3. Step 3: Cross multiply
    10,026.61x = 15,034.15 × 8,063.17
  4. Step 4: Simplify right side
    10,026.61x = 121,222,907.26
  5. Step 5: Solve for x
    x = 121,222,907.26/10,026.61
  6. Step 6: Final answer
    x = 12,090.12

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Why These Related Problems?

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