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Finding the Fourth Proportional to 10,577.78, 14,597.28 and 5,797.71

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Solution

The fourth proportional to 10,577.78, 14,597.28 and 5,797.71 is: 8,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.78 : 14,597.28 = 5,797.71 : x
  2. Step 2: Convert to fraction form
    10,577.78/14,597.28 = 5,797.71/x
  3. Step 3: Cross multiply
    10,577.78x = 14,597.28 × 5,797.71
  4. Step 4: Simplify right side
    10,577.78x = 84,630,796.23
  5. Step 5: Solve for x
    x = 84,630,796.23/10,577.78
  6. Step 6: Final answer
    x = 8,000.81

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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.