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Finding the Fourth Proportional to 12,830.40, 17,707.20 and 7,793.52

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Solution

The fourth proportional to 12,830.40, 17,707.20 and 7,793.52 is: 10,755.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 17,707.20 = 7,793.52 : x
  2. Step 2: Convert to fraction form
    12,830.40/17,707.20 = 7,793.52/x
  3. Step 3: Cross multiply
    12,830.40x = 17,707.20 × 7,793.52
  4. Step 4: Simplify right side
    12,830.40x = 138,001,417.34
  5. Step 5: Solve for x
    x = 138,001,417.34/12,830.40
  6. Step 6: Final answer
    x = 10,755.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.