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Finding the Fourth Proportional to 7,948.74, 10,969.56 and 5,294.34

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Solution

The fourth proportional to 7,948.74, 10,969.56 and 5,294.34 is: 7,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.74 : 10,969.56 = 5,294.34 : x
  2. Step 2: Convert to fraction form
    7,948.74/10,969.56 = 5,294.34/x
  3. Step 3: Cross multiply
    7,948.74x = 10,969.56 × 5,294.34
  4. Step 4: Simplify right side
    7,948.74x = 58,076,580.29
  5. Step 5: Solve for x
    x = 58,076,580.29/7,948.74
  6. Step 6: Final answer
    x = 7,306.39

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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.