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Finding the Fourth Proportional to 10,678.30, 16,017.30 and 4,834.90

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Solution

The fourth proportional to 10,678.30, 16,017.30 and 4,834.90 is: 7,252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.30 : 16,017.30 = 4,834.90 : x
  2. Step 2: Convert to fraction form
    10,678.30/16,017.30 = 4,834.90/x
  3. Step 3: Cross multiply
    10,678.30x = 16,017.30 × 4,834.90
  4. Step 4: Simplify right side
    10,678.30x = 77,442,043.77
  5. Step 5: Solve for x
    x = 77,442,043.77/10,678.30
  6. Step 6: Final answer
    x = 7,252.28

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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.