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Finding the Fourth Proportional to 10,413.84, 14,356.15 and 7,424.48

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Solution

The fourth proportional to 10,413.84, 14,356.15 and 7,424.48 is: 10,235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.84 : 14,356.15 = 7,424.48 : x
  2. Step 2: Convert to fraction form
    10,413.84/14,356.15 = 7,424.48/x
  3. Step 3: Cross multiply
    10,413.84x = 14,356.15 × 7,424.48
  4. Step 4: Simplify right side
    10,413.84x = 106,586,948.55
  5. Step 5: Solve for x
    x = 106,586,948.55/10,413.84
  6. Step 6: Final answer
    x = 10,235.12

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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.