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Finding the Fourth Proportional to 7,240.86, 9,993.46 and 4,588.51

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Solution

The fourth proportional to 7,240.86, 9,993.46 and 4,588.51 is: 6,332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.86 : 9,993.46 = 4,588.51 : x
  2. Step 2: Convert to fraction form
    7,240.86/9,993.46 = 4,588.51/x
  3. Step 3: Cross multiply
    7,240.86x = 9,993.46 × 4,588.51
  4. Step 4: Simplify right side
    7,240.86x = 45,855,091.14
  5. Step 5: Solve for x
    x = 45,855,091.14/7,240.86
  6. Step 6: Final answer
    x = 6,332.82

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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.