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Finding the Fourth Proportional to 11,904.90, 16,442.78 and 7,918.89

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Solution

The fourth proportional to 11,904.90, 16,442.78 and 7,918.89 is: 10,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.90 : 16,442.78 = 7,918.89 : x
  2. Step 2: Convert to fraction form
    11,904.90/16,442.78 = 7,918.89/x
  3. Step 3: Cross multiply
    11,904.90x = 16,442.78 × 7,918.89
  4. Step 4: Simplify right side
    11,904.90x = 130,208,526.52
  5. Step 5: Solve for x
    x = 130,208,526.52/11,904.90
  6. Step 6: Final answer
    x = 10,937.39

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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.