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Finding the Fourth Proportional to 10,578.42, 14,599.08 and 5,862.60

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Solution

The fourth proportional to 10,578.42, 14,599.08 and 5,862.60 is: 8,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.42 : 14,599.08 = 5,862.60 : x
  2. Step 2: Convert to fraction form
    10,578.42/14,599.08 = 5,862.60/x
  3. Step 3: Cross multiply
    10,578.42x = 14,599.08 × 5,862.60
  4. Step 4: Simplify right side
    10,578.42x = 85,588,566.41
  5. Step 5: Solve for x
    x = 85,588,566.41/10,578.42
  6. Step 6: Final answer
    x = 8,090.86

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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.