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Finding the Fourth Proportional to 10,078.31, 15,041.25 and 9,815.87

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Solution

The fourth proportional to 10,078.31, 15,041.25 and 9,815.87 is: 14,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.31 : 15,041.25 = 9,815.87 : x
  2. Step 2: Convert to fraction form
    10,078.31/15,041.25 = 9,815.87/x
  3. Step 3: Cross multiply
    10,078.31x = 15,041.25 × 9,815.87
  4. Step 4: Simplify right side
    10,078.31x = 147,642,905.56
  5. Step 5: Solve for x
    x = 147,642,905.56/10,078.31
  6. Step 6: Final answer
    x = 14,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.