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Finding the Fourth Proportional to 7,315.50, 10,959.48 and 3,613.40

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Solution

The fourth proportional to 7,315.50, 10,959.48 and 3,613.40 is: 5,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.50 : 10,959.48 = 3,613.40 : x
  2. Step 2: Convert to fraction form
    7,315.50/10,959.48 = 3,613.40/x
  3. Step 3: Cross multiply
    7,315.50x = 10,959.48 × 3,613.40
  4. Step 4: Simplify right side
    7,315.50x = 39,600,985.03
  5. Step 5: Solve for x
    x = 39,600,985.03/7,315.50
  6. Step 6: Final answer
    x = 5,413.30

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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.