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Finding the Fourth Proportional to 10,022.81, 15,034.14 and 7,833.38

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Solution

The fourth proportional to 10,022.81, 15,034.14 and 7,833.38 is: 11,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.81 : 15,034.14 = 7,833.38 : x
  2. Step 2: Convert to fraction form
    10,022.81/15,034.14 = 7,833.38/x
  3. Step 3: Cross multiply
    10,022.81x = 15,034.14 × 7,833.38
  4. Step 4: Simplify right side
    10,022.81x = 117,768,056.42
  5. Step 5: Solve for x
    x = 117,768,056.42/10,022.81
  6. Step 6: Final answer
    x = 11,750.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.