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Finding the Fourth Proportional to 10,729.94, 14,807.30 and 6,538.19

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Solution

The fourth proportional to 10,729.94, 14,807.30 and 6,538.19 is: 9,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.94 : 14,807.30 = 6,538.19 : x
  2. Step 2: Convert to fraction form
    10,729.94/14,807.30 = 6,538.19/x
  3. Step 3: Cross multiply
    10,729.94x = 14,807.30 × 6,538.19
  4. Step 4: Simplify right side
    10,729.94x = 96,812,834.06
  5. Step 5: Solve for x
    x = 96,812,834.06/10,729.94
  6. Step 6: Final answer
    x = 9,022.69

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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.