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Finding the Fourth Proportional to 10,301.92, 14,216.73 and 5,586.20

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Solution

The fourth proportional to 10,301.92, 14,216.73 and 5,586.20 is: 7,709.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.92 : 14,216.73 = 5,586.20 : x
  2. Step 2: Convert to fraction form
    10,301.92/14,216.73 = 5,586.20/x
  3. Step 3: Cross multiply
    10,301.92x = 14,216.73 × 5,586.20
  4. Step 4: Simplify right side
    10,301.92x = 79,417,497.13
  5. Step 5: Solve for x
    x = 79,417,497.13/10,301.92
  6. Step 6: Final answer
    x = 7,709.00

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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.