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Finding the Fourth Proportional to 10,744.18, 16,117.02 and 4,497.89

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Solution

The fourth proportional to 10,744.18, 16,117.02 and 4,497.89 is: 6,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.18 : 16,117.02 = 4,497.89 : x
  2. Step 2: Convert to fraction form
    10,744.18/16,117.02 = 4,497.89/x
  3. Step 3: Cross multiply
    10,744.18x = 16,117.02 × 4,497.89
  4. Step 4: Simplify right side
    10,744.18x = 72,492,502.50
  5. Step 5: Solve for x
    x = 72,492,502.50/10,744.18
  6. Step 6: Final answer
    x = 6,747.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.