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Finding the Fourth Proportional to 7,698.10, 11,548.36 and 2,502.76

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Solution

The fourth proportional to 7,698.10, 11,548.36 and 2,502.76 is: 3,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.10 : 11,548.36 = 2,502.76 : x
  2. Step 2: Convert to fraction form
    7,698.10/11,548.36 = 2,502.76/x
  3. Step 3: Cross multiply
    7,698.10x = 11,548.36 × 2,502.76
  4. Step 4: Simplify right side
    7,698.10x = 28,902,773.47
  5. Step 5: Solve for x
    x = 28,902,773.47/7,698.10
  6. Step 6: Final answer
    x = 3,754.53

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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.