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Finding the Fourth Proportional to 10,262.28, 14,157.95 and 5,785.01

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Solution

The fourth proportional to 10,262.28, 14,157.95 and 5,785.01 is: 7,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.28 : 14,157.95 = 5,785.01 : x
  2. Step 2: Convert to fraction form
    10,262.28/14,157.95 = 5,785.01/x
  3. Step 3: Cross multiply
    10,262.28x = 14,157.95 × 5,785.01
  4. Step 4: Simplify right side
    10,262.28x = 81,903,882.33
  5. Step 5: Solve for x
    x = 81,903,882.33/10,262.28
  6. Step 6: Final answer
    x = 7,981.06

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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.