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Finding the Fourth Proportional to 10,581.67, 15,875.15 and 7,467.76

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Solution

The fourth proportional to 10,581.67, 15,875.15 and 7,467.76 is: 11,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.67 : 15,875.15 = 7,467.76 : x
  2. Step 2: Convert to fraction form
    10,581.67/15,875.15 = 7,467.76/x
  3. Step 3: Cross multiply
    10,581.67x = 15,875.15 × 7,467.76
  4. Step 4: Simplify right side
    10,581.67x = 118,551,745.38
  5. Step 5: Solve for x
    x = 118,551,745.38/10,581.67
  6. Step 6: Final answer
    x = 11,203.50

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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.