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Finding the Fourth Proportional to 10,017.94, 15,026.19 and 4,471.78

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Solution

The fourth proportional to 10,017.94, 15,026.19 and 4,471.78 is: 6,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.94 : 15,026.19 = 4,471.78 : x
  2. Step 2: Convert to fraction form
    10,017.94/15,026.19 = 4,471.78/x
  3. Step 3: Cross multiply
    10,017.94x = 15,026.19 × 4,471.78
  4. Step 4: Simplify right side
    10,017.94x = 67,193,815.92
  5. Step 5: Solve for x
    x = 67,193,815.92/10,017.94
  6. Step 6: Final answer
    x = 6,707.35

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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.