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Finding the Fourth Proportional to 10,044.65, 15,070.62 and 3,471.50

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Solution

The fourth proportional to 10,044.65, 15,070.62 and 3,471.50 is: 5,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.65 : 15,070.62 = 3,471.50 : x
  2. Step 2: Convert to fraction form
    10,044.65/15,070.62 = 3,471.50/x
  3. Step 3: Cross multiply
    10,044.65x = 15,070.62 × 3,471.50
  4. Step 4: Simplify right side
    10,044.65x = 52,317,657.33
  5. Step 5: Solve for x
    x = 52,317,657.33/10,044.65
  6. Step 6: Final answer
    x = 5,208.51

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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.