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Finding the Fourth Proportional to 10,672, 14,727.76 and 5,957.20

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Solution

The fourth proportional to 10,672, 14,727.76 and 5,957.20 is: 8,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672 : 14,727.76 = 5,957.20 : x
  2. Step 2: Convert to fraction form
    10,672/14,727.76 = 5,957.20/x
  3. Step 3: Cross multiply
    10,672x = 14,727.76 × 5,957.20
  4. Step 4: Simplify right side
    10,672x = 87,736,211.87
  5. Step 5: Solve for x
    x = 87,736,211.87/10,672
  6. Step 6: Final answer
    x = 8,221.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.