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Finding the Fourth Proportional to 8,697.30, 13,022.76 and 5,929.40

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Solution

The fourth proportional to 8,697.30, 13,022.76 and 5,929.40 is: 8,878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.30 : 13,022.76 = 5,929.40 : x
  2. Step 2: Convert to fraction form
    8,697.30/13,022.76 = 5,929.40/x
  3. Step 3: Cross multiply
    8,697.30x = 13,022.76 × 5,929.40
  4. Step 4: Simplify right side
    8,697.30x = 77,217,153.14
  5. Step 5: Solve for x
    x = 77,217,153.14/8,697.30
  6. Step 6: Final answer
    x = 8,878.29

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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.