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Finding the Fourth Proportional to 10,878.40, 15,007.38 and 7,335.40

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Solution

The fourth proportional to 10,878.40, 15,007.38 and 7,335.40 is: 10,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.40 : 15,007.38 = 7,335.40 : x
  2. Step 2: Convert to fraction form
    10,878.40/15,007.38 = 7,335.40/x
  3. Step 3: Cross multiply
    10,878.40x = 15,007.38 × 7,335.40
  4. Step 4: Simplify right side
    10,878.40x = 110,085,135.25
  5. Step 5: Solve for x
    x = 110,085,135.25/10,878.40
  6. Step 6: Final answer
    x = 10,119.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.