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Finding the Fourth Proportional to 25,127, 37,707.78 and 8,711

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Solution

The fourth proportional to 25,127, 37,707.78 and 8,711 is: 13,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,127 : 37,707.78 = 8,711 : x
  2. Step 2: Convert to fraction form
    25,127/37,707.78 = 8,711/x
  3. Step 3: Cross multiply
    25,127x = 37,707.78 × 8,711
  4. Step 4: Simplify right side
    25,127x = 328,472,471.58
  5. Step 5: Solve for x
    x = 328,472,471.58/25,127
  6. Step 6: Final answer
    x = 13,072.49

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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.