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Finding the Fourth Proportional to 10,638.54, 15,957.36 and 4,396.86

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Solution

The fourth proportional to 10,638.54, 15,957.36 and 4,396.86 is: 6,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.54 : 15,957.36 = 4,396.86 : x
  2. Step 2: Convert to fraction form
    10,638.54/15,957.36 = 4,396.86/x
  3. Step 3: Cross multiply
    10,638.54x = 15,957.36 × 4,396.86
  4. Step 4: Simplify right side
    10,638.54x = 70,162,277.89
  5. Step 5: Solve for x
    x = 70,162,277.89/10,638.54
  6. Step 6: Final answer
    x = 6,595.10

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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.