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Finding the Fourth Proportional to 7,413.40, 11,111.10 and 4,287.40

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Solution

The fourth proportional to 7,413.40, 11,111.10 and 4,287.40 is: 6,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.40 : 11,111.10 = 4,287.40 : x
  2. Step 2: Convert to fraction form
    7,413.40/11,111.10 = 4,287.40/x
  3. Step 3: Cross multiply
    7,413.40x = 11,111.10 × 4,287.40
  4. Step 4: Simplify right side
    7,413.40x = 47,637,730.14
  5. Step 5: Solve for x
    x = 47,637,730.14/7,413.40
  6. Step 6: Final answer
    x = 6,425.90

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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.