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Finding the Fourth Proportional to 7,588.78, 11,388.33 and 4,658.14

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Solution

The fourth proportional to 7,588.78, 11,388.33 and 4,658.14 is: 6,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.78 : 11,388.33 = 4,658.14 : x
  2. Step 2: Convert to fraction form
    7,588.78/11,388.33 = 4,658.14/x
  3. Step 3: Cross multiply
    7,588.78x = 11,388.33 × 4,658.14
  4. Step 4: Simplify right side
    7,588.78x = 53,048,435.51
  5. Step 5: Solve for x
    x = 53,048,435.51/7,588.78
  6. Step 6: Final answer
    x = 6,990.38

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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.