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Finding the Fourth Proportional to 10,072.50, 15,097.95 and 4,866.90

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Solution

The fourth proportional to 10,072.50, 15,097.95 and 4,866.90 is: 7,295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.50 : 15,097.95 = 4,866.90 : x
  2. Step 2: Convert to fraction form
    10,072.50/15,097.95 = 4,866.90/x
  3. Step 3: Cross multiply
    10,072.50x = 15,097.95 × 4,866.90
  4. Step 4: Simplify right side
    10,072.50x = 73,480,212.86
  5. Step 5: Solve for x
    x = 73,480,212.86/10,072.50
  6. Step 6: Final answer
    x = 7,295.13

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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.