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Finding the Fourth Proportional to 7,617.39, 11,426.65 and 2,071.17

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Solution

The fourth proportional to 7,617.39, 11,426.65 and 2,071.17 is: 3,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.39 : 11,426.65 = 2,071.17 : x
  2. Step 2: Convert to fraction form
    7,617.39/11,426.65 = 2,071.17/x
  3. Step 3: Cross multiply
    7,617.39x = 11,426.65 × 2,071.17
  4. Step 4: Simplify right side
    7,617.39x = 23,666,541.15
  5. Step 5: Solve for x
    x = 23,666,541.15/7,617.39
  6. Step 6: Final answer
    x = 3,106.91

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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.