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Finding the Fourth Proportional to 10,578.60, 14,597.82 and 5,862.78

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Solution

The fourth proportional to 10,578.60, 14,597.82 and 5,862.78 is: 8,090.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.60 : 14,597.82 = 5,862.78 : x
  2. Step 2: Convert to fraction form
    10,578.60/14,597.82 = 5,862.78/x
  3. Step 3: Cross multiply
    10,578.60x = 14,597.82 × 5,862.78
  4. Step 4: Simplify right side
    10,578.60x = 85,583,807.14
  5. Step 5: Solve for x
    x = 85,583,807.14/10,578.60
  6. Step 6: Final answer
    x = 8,090.28

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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.