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Finding the Fourth Proportional to 10,577.52, 14,597.16 and 5,797.38

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Solution

The fourth proportional to 10,577.52, 14,597.16 and 5,797.38 is: 8,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.52 : 14,597.16 = 5,797.38 : x
  2. Step 2: Convert to fraction form
    10,577.52/14,597.16 = 5,797.38/x
  3. Step 3: Cross multiply
    10,577.52x = 14,597.16 × 5,797.38
  4. Step 4: Simplify right side
    10,577.52x = 84,625,283.44
  5. Step 5: Solve for x
    x = 84,625,283.44/10,577.52
  6. Step 6: Final answer
    x = 8,000.48

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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.