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Finding the Fourth Proportional to 10,648.59, 15,954.66 and 5,703.54

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Solution

The fourth proportional to 10,648.59, 15,954.66 and 5,703.54 is: 8,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.59 : 15,954.66 = 5,703.54 : x
  2. Step 2: Convert to fraction form
    10,648.59/15,954.66 = 5,703.54/x
  3. Step 3: Cross multiply
    10,648.59x = 15,954.66 × 5,703.54
  4. Step 4: Simplify right side
    10,648.59x = 90,998,041.50
  5. Step 5: Solve for x
    x = 90,998,041.50/10,648.59
  6. Step 6: Final answer
    x = 8,545.55

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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.