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Finding the Fourth Proportional to 12,545.95, 17,313.38 and 7,240.76

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Solution

The fourth proportional to 12,545.95, 17,313.38 and 7,240.76 is: 9,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,545.95 : 17,313.38 = 7,240.76 : x
  2. Step 2: Convert to fraction form
    12,545.95/17,313.38 = 7,240.76/x
  3. Step 3: Cross multiply
    12,545.95x = 17,313.38 × 7,240.76
  4. Step 4: Simplify right side
    12,545.95x = 125,361,993.17
  5. Step 5: Solve for x
    x = 125,361,993.17/12,545.95
  6. Step 6: Final answer
    x = 9,992.23

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Why These Related Problems?

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