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Finding the Fourth Proportional to 7,703.15, 11,552.31 and 4,003.38

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Solution

The fourth proportional to 7,703.15, 11,552.31 and 4,003.38 is: 6,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.15 : 11,552.31 = 4,003.38 : x
  2. Step 2: Convert to fraction form
    7,703.15/11,552.31 = 4,003.38/x
  3. Step 3: Cross multiply
    7,703.15x = 11,552.31 × 4,003.38
  4. Step 4: Simplify right side
    7,703.15x = 46,248,286.81
  5. Step 5: Solve for x
    x = 46,248,286.81/7,703.15
  6. Step 6: Final answer
    x = 6,003.82

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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.