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Finding the Fourth Proportional to 10,405.92, 15,603.84 and 3,478.08

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Solution

The fourth proportional to 10,405.92, 15,603.84 and 3,478.08 is: 5,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.92 : 15,603.84 = 3,478.08 : x
  2. Step 2: Convert to fraction form
    10,405.92/15,603.84 = 3,478.08/x
  3. Step 3: Cross multiply
    10,405.92x = 15,603.84 × 3,478.08
  4. Step 4: Simplify right side
    10,405.92x = 54,271,403.83
  5. Step 5: Solve for x
    x = 54,271,403.83/10,405.92
  6. Step 6: Final answer
    x = 5,215.44

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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.