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Finding the Fourth Proportional to 10,437.66, 15,656.49 and 2,645.87

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Solution

The fourth proportional to 10,437.66, 15,656.49 and 2,645.87 is: 3,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.66 : 15,656.49 = 2,645.87 : x
  2. Step 2: Convert to fraction form
    10,437.66/15,656.49 = 2,645.87/x
  3. Step 3: Cross multiply
    10,437.66x = 15,656.49 × 2,645.87
  4. Step 4: Simplify right side
    10,437.66x = 41,424,958.91
  5. Step 5: Solve for x
    x = 41,424,958.91/10,437.66
  6. Step 6: Final answer
    x = 3,968.80

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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.