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Finding the Fourth Proportional to 7,588.83, 10,468.06 and 5,907.57

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Solution

The fourth proportional to 7,588.83, 10,468.06 and 5,907.57 is: 8,148.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.83 : 10,468.06 = 5,907.57 : x
  2. Step 2: Convert to fraction form
    7,588.83/10,468.06 = 5,907.57/x
  3. Step 3: Cross multiply
    7,588.83x = 10,468.06 × 5,907.57
  4. Step 4: Simplify right side
    7,588.83x = 61,840,797.21
  5. Step 5: Solve for x
    x = 61,840,797.21/7,588.83
  6. Step 6: Final answer
    x = 8,148.92

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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.