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Finding the Fourth Proportional to 10,637.59, 14,679.75 and 5,857.44

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Solution

The fourth proportional to 10,637.59, 14,679.75 and 5,857.44 is: 8,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.59 : 14,679.75 = 5,857.44 : x
  2. Step 2: Convert to fraction form
    10,637.59/14,679.75 = 5,857.44/x
  3. Step 3: Cross multiply
    10,637.59x = 14,679.75 × 5,857.44
  4. Step 4: Simplify right side
    10,637.59x = 85,985,681.44
  5. Step 5: Solve for x
    x = 85,985,681.44/10,637.59
  6. Step 6: Final answer
    x = 8,083.20

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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.