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Finding the Fourth Proportional to 10,275.40, 15,413.10 and 6,128.20

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Solution

The fourth proportional to 10,275.40, 15,413.10 and 6,128.20 is: 9,192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.40 : 15,413.10 = 6,128.20 : x
  2. Step 2: Convert to fraction form
    10,275.40/15,413.10 = 6,128.20/x
  3. Step 3: Cross multiply
    10,275.40x = 15,413.10 × 6,128.20
  4. Step 4: Simplify right side
    10,275.40x = 94,454,559.42
  5. Step 5: Solve for x
    x = 94,454,559.42/10,275.40
  6. Step 6: Final answer
    x = 9,192.30

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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.