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Finding the Fourth Proportional to 10,275.93, 15,413.13 and 6,327.81

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Solution

The fourth proportional to 10,275.93, 15,413.13 and 6,327.81 is: 9,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.93 : 15,413.13 = 6,327.81 : x
  2. Step 2: Convert to fraction form
    10,275.93/15,413.13 = 6,327.81/x
  3. Step 3: Cross multiply
    10,275.93x = 15,413.13 × 6,327.81
  4. Step 4: Simplify right side
    10,275.93x = 97,531,358.15
  5. Step 5: Solve for x
    x = 97,531,358.15/10,275.93
  6. Step 6: Final answer
    x = 9,491.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.