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Finding the Fourth Proportional to 10,969.74, 15,122.43 and 7,820.46

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Solution

The fourth proportional to 10,969.74, 15,122.43 and 7,820.46 is: 10,780.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.74 : 15,122.43 = 7,820.46 : x
  2. Step 2: Convert to fraction form
    10,969.74/15,122.43 = 7,820.46/x
  3. Step 3: Cross multiply
    10,969.74x = 15,122.43 × 7,820.46
  4. Step 4: Simplify right side
    10,969.74x = 118,264,358.92
  5. Step 5: Solve for x
    x = 118,264,358.92/10,969.74
  6. Step 6: Final answer
    x = 10,780.96

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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.