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Finding the Fourth Proportional to 10,323.81, 14,246.82 and 5,847.12

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Solution

The fourth proportional to 10,323.81, 14,246.82 and 5,847.12 is: 8,069.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.81 : 14,246.82 = 5,847.12 : x
  2. Step 2: Convert to fraction form
    10,323.81/14,246.82 = 5,847.12/x
  3. Step 3: Cross multiply
    10,323.81x = 14,246.82 × 5,847.12
  4. Step 4: Simplify right side
    10,323.81x = 83,302,866.16
  5. Step 5: Solve for x
    x = 83,302,866.16/10,323.81
  6. Step 6: Final answer
    x = 8,069.00

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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.