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Finding the Fourth Proportional to 10,078.19, 15,041.06 and 9,815.75

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Solution

The fourth proportional to 10,078.19, 15,041.06 and 9,815.75 is: 14,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.19 : 15,041.06 = 9,815.75 : x
  2. Step 2: Convert to fraction form
    10,078.19/15,041.06 = 9,815.75/x
  3. Step 3: Cross multiply
    10,078.19x = 15,041.06 × 9,815.75
  4. Step 4: Simplify right side
    10,078.19x = 147,639,253.62
  5. Step 5: Solve for x
    x = 147,639,253.62/10,078.19
  6. Step 6: Final answer
    x = 14,649.38

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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.