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Finding the Fourth Proportional to 10,878.78, 16,281.09 and 7,548.15

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Solution

The fourth proportional to 10,878.78, 16,281.09 and 7,548.15 is: 11,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,878.78 : 16,281.09 = 7,548.15 : x
  2. Step 2: Convert to fraction form
    10,878.78/16,281.09 = 7,548.15/x
  3. Step 3: Cross multiply
    10,878.78x = 16,281.09 × 7,548.15
  4. Step 4: Simplify right side
    10,878.78x = 122,892,109.48
  5. Step 5: Solve for x
    x = 122,892,109.48/10,878.78
  6. Step 6: Final answer
    x = 11,296.50

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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.