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Finding the Fourth Proportional to 10,007.67, 15,012.29 and 5,848.11

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Solution

The fourth proportional to 10,007.67, 15,012.29 and 5,848.11 is: 8,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.67 : 15,012.29 = 5,848.11 : x
  2. Step 2: Convert to fraction form
    10,007.67/15,012.29 = 5,848.11/x
  3. Step 3: Cross multiply
    10,007.67x = 15,012.29 × 5,848.11
  4. Step 4: Simplify right side
    10,007.67x = 87,793,494.03
  5. Step 5: Solve for x
    x = 87,793,494.03/10,007.67
  6. Step 6: Final answer
    x = 8,772.62

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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.