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Finding the Fourth Proportional to 7,570.76, 11,354.78 and 2,304.48

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Solution

The fourth proportional to 7,570.76, 11,354.78 and 2,304.48 is: 3,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.76 : 11,354.78 = 2,304.48 : x
  2. Step 2: Convert to fraction form
    7,570.76/11,354.78 = 2,304.48/x
  3. Step 3: Cross multiply
    7,570.76x = 11,354.78 × 2,304.48
  4. Step 4: Simplify right side
    7,570.76x = 26,166,911.76
  5. Step 5: Solve for x
    x = 26,166,911.76/7,570.76
  6. Step 6: Final answer
    x = 3,456.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.