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Finding the Fourth Proportional to 10,720.72, 14,780.79 and 6,937.18

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Solution

The fourth proportional to 10,720.72, 14,780.79 and 6,937.18 is: 9,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.72 : 14,780.79 = 6,937.18 : x
  2. Step 2: Convert to fraction form
    10,720.72/14,780.79 = 6,937.18/x
  3. Step 3: Cross multiply
    10,720.72x = 14,780.79 × 6,937.18
  4. Step 4: Simplify right side
    10,720.72x = 102,537,000.77
  5. Step 5: Solve for x
    x = 102,537,000.77/10,720.72
  6. Step 6: Final answer
    x = 9,564.38

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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.