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Finding the Fourth Proportional to 10,774.40, 16,098.92 and 7,798.72

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Solution

The fourth proportional to 10,774.40, 16,098.92 and 7,798.72 is: 11,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.40 : 16,098.92 = 7,798.72 : x
  2. Step 2: Convert to fraction form
    10,774.40/16,098.92 = 7,798.72/x
  3. Step 3: Cross multiply
    10,774.40x = 16,098.92 × 7,798.72
  4. Step 4: Simplify right side
    10,774.40x = 125,550,969.38
  5. Step 5: Solve for x
    x = 125,550,969.38/10,774.40
  6. Step 6: Final answer
    x = 11,652.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.