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Finding the Fourth Proportional to 10,275.45, 15,413.15 and 4,038.41

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Solution

The fourth proportional to 10,275.45, 15,413.15 and 4,038.41 is: 6,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.45 : 15,413.15 = 4,038.41 : x
  2. Step 2: Convert to fraction form
    10,275.45/15,413.15 = 4,038.41/x
  3. Step 3: Cross multiply
    10,275.45x = 15,413.15 × 4,038.41
  4. Step 4: Simplify right side
    10,275.45x = 62,244,521.83
  5. Step 5: Solve for x
    x = 62,244,521.83/10,275.45
  6. Step 6: Final answer
    x = 6,057.60

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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.