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Finding the Fourth Proportional to 7,588.46, 10,468.36 and 5,071.19

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Solution

The fourth proportional to 7,588.46, 10,468.36 and 5,071.19 is: 6,995.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.46 : 10,468.36 = 5,071.19 : x
  2. Step 2: Convert to fraction form
    7,588.46/10,468.36 = 5,071.19/x
  3. Step 3: Cross multiply
    7,588.46x = 10,468.36 × 5,071.19
  4. Step 4: Simplify right side
    7,588.46x = 53,087,042.55
  5. Step 5: Solve for x
    x = 53,087,042.55/7,588.46
  6. Step 6: Final answer
    x = 6,995.76

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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.