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Finding the Fourth Proportional to 11,275.70, 15,567.09 and 6,800.90

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Solution

The fourth proportional to 11,275.70, 15,567.09 and 6,800.90 is: 9,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.70 : 15,567.09 = 6,800.90 : x
  2. Step 2: Convert to fraction form
    11,275.70/15,567.09 = 6,800.90/x
  3. Step 3: Cross multiply
    11,275.70x = 15,567.09 × 6,800.90
  4. Step 4: Simplify right side
    11,275.70x = 105,870,222.38
  5. Step 5: Solve for x
    x = 105,870,222.38/11,275.70
  6. Step 6: Final answer
    x = 9,389.24

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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.