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Finding the Fourth Proportional to 7,476.72, 10,294.68 and 6,413.04

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Solution

The fourth proportional to 7,476.72, 10,294.68 and 6,413.04 is: 8,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,476.72 : 10,294.68 = 6,413.04 : x
  2. Step 2: Convert to fraction form
    7,476.72/10,294.68 = 6,413.04/x
  3. Step 3: Cross multiply
    7,476.72x = 10,294.68 × 6,413.04
  4. Step 4: Simplify right side
    7,476.72x = 66,020,194.63
  5. Step 5: Solve for x
    x = 66,020,194.63/7,476.72
  6. Step 6: Final answer
    x = 8,830.10

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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.