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Finding the Fourth Proportional to 7,010.04, 9,673.68 and 3,823.20

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Solution

The fourth proportional to 7,010.04, 9,673.68 and 3,823.20 is: 5,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.04 : 9,673.68 = 3,823.20 : x
  2. Step 2: Convert to fraction form
    7,010.04/9,673.68 = 3,823.20/x
  3. Step 3: Cross multiply
    7,010.04x = 9,673.68 × 3,823.20
  4. Step 4: Simplify right side
    7,010.04x = 36,984,413.38
  5. Step 5: Solve for x
    x = 36,984,413.38/7,010.04
  6. Step 6: Final answer
    x = 5,275.92

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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.