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Finding the Fourth Proportional to 7,156.56, 10,738.62 and 3,693

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Solution

The fourth proportional to 7,156.56, 10,738.62 and 3,693 is: 5,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.56 : 10,738.62 = 3,693 : x
  2. Step 2: Convert to fraction form
    7,156.56/10,738.62 = 3,693/x
  3. Step 3: Cross multiply
    7,156.56x = 10,738.62 × 3,693
  4. Step 4: Simplify right side
    7,156.56x = 39,657,723.66
  5. Step 5: Solve for x
    x = 39,657,723.66/7,156.56
  6. Step 6: Final answer
    x = 5,541.45

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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.