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Finding the Fourth Proportional to 7,155.92, 9,875.16 and 4,012.16

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Solution

The fourth proportional to 7,155.92, 9,875.16 and 4,012.16 is: 5,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.92 : 9,875.16 = 4,012.16 : x
  2. Step 2: Convert to fraction form
    7,155.92/9,875.16 = 4,012.16/x
  3. Step 3: Cross multiply
    7,155.92x = 9,875.16 × 4,012.16
  4. Step 4: Simplify right side
    7,155.92x = 39,620,721.95
  5. Step 5: Solve for x
    x = 39,620,721.95/7,155.92
  6. Step 6: Final answer
    x = 5,536.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.