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Finding the Fourth Proportional to 7,148.40, 10,699.56 and 3,680.88

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Solution

The fourth proportional to 7,148.40, 10,699.56 and 3,680.88 is: 5,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.40 : 10,699.56 = 3,680.88 : x
  2. Step 2: Convert to fraction form
    7,148.40/10,699.56 = 3,680.88/x
  3. Step 3: Cross multiply
    7,148.40x = 10,699.56 × 3,680.88
  4. Step 4: Simplify right side
    7,148.40x = 39,383,796.41
  5. Step 5: Solve for x
    x = 39,383,796.41/7,148.40
  6. Step 6: Final answer
    x = 5,509.46

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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.