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Finding the Fourth Proportional to 8,252.64, 11,394 and 5,459.76

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Solution

The fourth proportional to 8,252.64, 11,394 and 5,459.76 is: 7,538.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.64 : 11,394 = 5,459.76 : x
  2. Step 2: Convert to fraction form
    8,252.64/11,394 = 5,459.76/x
  3. Step 3: Cross multiply
    8,252.64x = 11,394 × 5,459.76
  4. Step 4: Simplify right side
    8,252.64x = 62,208,505.44
  5. Step 5: Solve for x
    x = 62,208,505.44/8,252.64
  6. Step 6: Final answer
    x = 7,538.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.