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Finding the Fourth Proportional to 10,700.65, 16,062.72 and 4,465.09

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Solution

The fourth proportional to 10,700.65, 16,062.72 and 4,465.09 is: 6,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.65 : 16,062.72 = 4,465.09 : x
  2. Step 2: Convert to fraction form
    10,700.65/16,062.72 = 4,465.09/x
  3. Step 3: Cross multiply
    10,700.65x = 16,062.72 × 4,465.09
  4. Step 4: Simplify right side
    10,700.65x = 71,721,490.44
  5. Step 5: Solve for x
    x = 71,721,490.44/10,700.65
  6. Step 6: Final answer
    x = 6,702.54

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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.