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Finding the Fourth Proportional to 7,918.50, 11,877.66 and 7,437.36

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Solution

The fourth proportional to 7,918.50, 11,877.66 and 7,437.36 is: 11,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.50 : 11,877.66 = 7,437.36 : x
  2. Step 2: Convert to fraction form
    7,918.50/11,877.66 = 7,437.36/x
  3. Step 3: Cross multiply
    7,918.50x = 11,877.66 × 7,437.36
  4. Step 4: Simplify right side
    7,918.50x = 88,338,433.38
  5. Step 5: Solve for x
    x = 88,338,433.38/7,918.50
  6. Step 6: Final answer
    x = 11,155.96

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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.