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Finding the Fourth Proportional to 7,156.91, 9,866.15 and 5,025.95

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Solution

The fourth proportional to 7,156.91, 9,866.15 and 5,025.95 is: 6,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.91 : 9,866.15 = 5,025.95 : x
  2. Step 2: Convert to fraction form
    7,156.91/9,866.15 = 5,025.95/x
  3. Step 3: Cross multiply
    7,156.91x = 9,866.15 × 5,025.95
  4. Step 4: Simplify right side
    7,156.91x = 49,586,702.13
  5. Step 5: Solve for x
    x = 49,586,702.13/7,156.91
  6. Step 6: Final answer
    x = 6,928.51

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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.