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Finding the Fourth Proportional to 7,588.44, 10,473.66 and 5,103

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Solution

The fourth proportional to 7,588.44, 10,473.66 and 5,103 is: 7,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.44 : 10,473.66 = 5,103 : x
  2. Step 2: Convert to fraction form
    7,588.44/10,473.66 = 5,103/x
  3. Step 3: Cross multiply
    7,588.44x = 10,473.66 × 5,103
  4. Step 4: Simplify right side
    7,588.44x = 53,447,086.98
  5. Step 5: Solve for x
    x = 53,447,086.98/7,588.44
  6. Step 6: Final answer
    x = 7,043.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.