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Finding the Fourth Proportional to 10,545.80, 14,556.66 and 7,402.76

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Solution

The fourth proportional to 10,545.80, 14,556.66 and 7,402.76 is: 10,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.80 : 14,556.66 = 7,402.76 : x
  2. Step 2: Convert to fraction form
    10,545.80/14,556.66 = 7,402.76/x
  3. Step 3: Cross multiply
    10,545.80x = 14,556.66 × 7,402.76
  4. Step 4: Simplify right side
    10,545.80x = 107,759,460.38
  5. Step 5: Solve for x
    x = 107,759,460.38/10,545.80
  6. Step 6: Final answer
    x = 10,218.23

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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.