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Finding the Fourth Proportional to 10,642.87, 14,687.16 and 5,862.80

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Solution

The fourth proportional to 10,642.87, 14,687.16 and 5,862.80 is: 8,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.87 : 14,687.16 = 5,862.80 : x
  2. Step 2: Convert to fraction form
    10,642.87/14,687.16 = 5,862.80/x
  3. Step 3: Cross multiply
    10,642.87x = 14,687.16 × 5,862.80
  4. Step 4: Simplify right side
    10,642.87x = 86,107,900.46
  5. Step 5: Solve for x
    x = 86,107,900.46/10,642.87
  6. Step 6: Final answer
    x = 8,090.67

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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.