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Finding the Fourth Proportional to 10,645.42, 15,957.33 and 4,409.86

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Solution

The fourth proportional to 10,645.42, 15,957.33 and 4,409.86 is: 6,610.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.42 : 15,957.33 = 4,409.86 : x
  2. Step 2: Convert to fraction form
    10,645.42/15,957.33 = 4,409.86/x
  3. Step 3: Cross multiply
    10,645.42x = 15,957.33 × 4,409.86
  4. Step 4: Simplify right side
    10,645.42x = 70,369,591.27
  5. Step 5: Solve for x
    x = 70,369,591.27/10,645.42
  6. Step 6: Final answer
    x = 6,610.32

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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.