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Finding the Fourth Proportional to 10,413.14, 14,355.18 and 7,423.79

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Solution

The fourth proportional to 10,413.14, 14,355.18 and 7,423.79 is: 10,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.14 : 14,355.18 = 7,423.79 : x
  2. Step 2: Convert to fraction form
    10,413.14/14,355.18 = 7,423.79/x
  3. Step 3: Cross multiply
    10,413.14x = 14,355.18 × 7,423.79
  4. Step 4: Simplify right side
    10,413.14x = 106,569,769.96
  5. Step 5: Solve for x
    x = 106,569,769.96/10,413.14
  6. Step 6: Final answer
    x = 10,234.16

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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.