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Finding the Fourth Proportional to 11,340.48, 15,644 and 7,805.60

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Solution

The fourth proportional to 11,340.48, 15,644 and 7,805.60 is: 10,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.48 : 15,644 = 7,805.60 : x
  2. Step 2: Convert to fraction form
    11,340.48/15,644 = 7,805.60/x
  3. Step 3: Cross multiply
    11,340.48x = 15,644 × 7,805.60
  4. Step 4: Simplify right side
    11,340.48x = 122,110,806.40
  5. Step 5: Solve for x
    x = 122,110,806.40/11,340.48
  6. Step 6: Final answer
    x = 10,767.69

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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.