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Finding the Fourth Proportional to 10,413.12, 14,377.04 and 6,165.56

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Solution

The fourth proportional to 10,413.12, 14,377.04 and 6,165.56 is: 8,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.12 : 14,377.04 = 6,165.56 : x
  2. Step 2: Convert to fraction form
    10,413.12/14,377.04 = 6,165.56/x
  3. Step 3: Cross multiply
    10,413.12x = 14,377.04 × 6,165.56
  4. Step 4: Simplify right side
    10,413.12x = 88,642,502.74
  5. Step 5: Solve for x
    x = 88,642,502.74/10,413.12
  6. Step 6: Final answer
    x = 8,512.58

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