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Finding the Fourth Proportional to 10,637.70, 15,946.26 and 5,959.98

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Solution

The fourth proportional to 10,637.70, 15,946.26 and 5,959.98 is: 8,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.70 : 15,946.26 = 5,959.98 : x
  2. Step 2: Convert to fraction form
    10,637.70/15,946.26 = 5,959.98/x
  3. Step 3: Cross multiply
    10,637.70x = 15,946.26 × 5,959.98
  4. Step 4: Simplify right side
    10,637.70x = 95,039,390.67
  5. Step 5: Solve for x
    x = 95,039,390.67/10,637.70
  6. Step 6: Final answer
    x = 8,934.20

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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.