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Finding the Fourth Proportional to 10,527.83, 14,528.02 and 5,812.01

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Solution

The fourth proportional to 10,527.83, 14,528.02 and 5,812.01 is: 8,020.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.83 : 14,528.02 = 5,812.01 : x
  2. Step 2: Convert to fraction form
    10,527.83/14,528.02 = 5,812.01/x
  3. Step 3: Cross multiply
    10,527.83x = 14,528.02 × 5,812.01
  4. Step 4: Simplify right side
    10,527.83x = 84,436,997.52
  5. Step 5: Solve for x
    x = 84,436,997.52/10,527.83
  6. Step 6: Final answer
    x = 8,020.36

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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.