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Finding the Fourth Proportional to 28,677.76, 43,008.96 and 7,902.40

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Solution

The fourth proportional to 28,677.76, 43,008.96 and 7,902.40 is: 11,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,677.76 : 43,008.96 = 7,902.40 : x
  2. Step 2: Convert to fraction form
    28,677.76/43,008.96 = 7,902.40/x
  3. Step 3: Cross multiply
    28,677.76x = 43,008.96 × 7,902.40
  4. Step 4: Simplify right side
    28,677.76x = 339,874,005.50
  5. Step 5: Solve for x
    x = 339,874,005.50/28,677.76
  6. Step 6: Final answer
    x = 11,851.48

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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.