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Finding the Fourth Proportional to 10,376.56, 14,320.02 and 5,900.20

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Solution

The fourth proportional to 10,376.56, 14,320.02 and 5,900.20 is: 8,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.56 : 14,320.02 = 5,900.20 : x
  2. Step 2: Convert to fraction form
    10,376.56/14,320.02 = 5,900.20/x
  3. Step 3: Cross multiply
    10,376.56x = 14,320.02 × 5,900.20
  4. Step 4: Simplify right side
    10,376.56x = 84,490,982.00
  5. Step 5: Solve for x
    x = 84,490,982.00/10,376.56
  6. Step 6: Final answer
    x = 8,142.48

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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.