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Finding the Fourth Proportional to 7,538.81, 10,392.79 and 5,413.66

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Solution

The fourth proportional to 7,538.81, 10,392.79 and 5,413.66 is: 7,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.81 : 10,392.79 = 5,413.66 : x
  2. Step 2: Convert to fraction form
    7,538.81/10,392.79 = 5,413.66/x
  3. Step 3: Cross multiply
    7,538.81x = 10,392.79 × 5,413.66
  4. Step 4: Simplify right side
    7,538.81x = 56,263,031.51
  5. Step 5: Solve for x
    x = 56,263,031.51/7,538.81
  6. Step 6: Final answer
    x = 7,463.12

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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.