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Finding the Fourth Proportional to 10,937.69, 16,409.92 and 4,615.84

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Solution

The fourth proportional to 10,937.69, 16,409.92 and 4,615.84 is: 6,925.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.69 : 16,409.92 = 4,615.84 : x
  2. Step 2: Convert to fraction form
    10,937.69/16,409.92 = 4,615.84/x
  3. Step 3: Cross multiply
    10,937.69x = 16,409.92 × 4,615.84
  4. Step 4: Simplify right side
    10,937.69x = 75,745,512.57
  5. Step 5: Solve for x
    x = 75,745,512.57/10,937.69
  6. Step 6: Final answer
    x = 6,925.19

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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.