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Finding the Fourth Proportional to 7,385.40, 11,061.90 and 6,413.40

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Solution

The fourth proportional to 7,385.40, 11,061.90 and 6,413.40 is: 9,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.40 : 11,061.90 = 6,413.40 : x
  2. Step 2: Convert to fraction form
    7,385.40/11,061.90 = 6,413.40/x
  3. Step 3: Cross multiply
    7,385.40x = 11,061.90 × 6,413.40
  4. Step 4: Simplify right side
    7,385.40x = 70,944,389.46
  5. Step 5: Solve for x
    x = 70,944,389.46/7,385.40
  6. Step 6: Final answer
    x = 9,606.03

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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.