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Finding the Fourth Proportional to 7,413.39, 10,230.43 and 4,056.14

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Solution

The fourth proportional to 7,413.39, 10,230.43 and 4,056.14 is: 5,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.39 : 10,230.43 = 4,056.14 : x
  2. Step 2: Convert to fraction form
    7,413.39/10,230.43 = 4,056.14/x
  3. Step 3: Cross multiply
    7,413.39x = 10,230.43 × 4,056.14
  4. Step 4: Simplify right side
    7,413.39x = 41,495,984.91
  5. Step 5: Solve for x
    x = 41,495,984.91/7,413.39
  6. Step 6: Final answer
    x = 5,597.44

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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.