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Finding the Fourth Proportional to 10,575.72, 14,594.82 and 5,860.20

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Solution

The fourth proportional to 10,575.72, 14,594.82 and 5,860.20 is: 8,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.72 : 14,594.82 = 5,860.20 : x
  2. Step 2: Convert to fraction form
    10,575.72/14,594.82 = 5,860.20/x
  3. Step 3: Cross multiply
    10,575.72x = 14,594.82 × 5,860.20
  4. Step 4: Simplify right side
    10,575.72x = 85,528,564.16
  5. Step 5: Solve for x
    x = 85,528,564.16/10,575.72
  6. Step 6: Final answer
    x = 8,087.26

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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.