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Finding the Fourth Proportional to 10,086.63, 15,129.95 and 3,165.99

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Solution

The fourth proportional to 10,086.63, 15,129.95 and 3,165.99 is: 4,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.63 : 15,129.95 = 3,165.99 : x
  2. Step 2: Convert to fraction form
    10,086.63/15,129.95 = 3,165.99/x
  3. Step 3: Cross multiply
    10,086.63x = 15,129.95 × 3,165.99
  4. Step 4: Simplify right side
    10,086.63x = 47,901,254.57
  5. Step 5: Solve for x
    x = 47,901,254.57/10,086.63
  6. Step 6: Final answer
    x = 4,748.99

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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.