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Finding the Fourth Proportional to 10,575, 14,593.43 and 5,859.27

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Solution

The fourth proportional to 10,575, 14,593.43 and 5,859.27 is: 8,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575 : 14,593.43 = 5,859.27 : x
  2. Step 2: Convert to fraction form
    10,575/14,593.43 = 5,859.27/x
  3. Step 3: Cross multiply
    10,575x = 14,593.43 × 5,859.27
  4. Step 4: Simplify right side
    10,575x = 85,506,817.30
  5. Step 5: Solve for x
    x = 85,506,817.30/10,575
  6. Step 6: Final answer
    x = 8,085.75

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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.