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Finding the Fourth Proportional to 10,614.07, 14,643.18 and 7,426.51

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Solution

The fourth proportional to 10,614.07, 14,643.18 and 7,426.51 is: 10,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.07 : 14,643.18 = 7,426.51 : x
  2. Step 2: Convert to fraction form
    10,614.07/14,643.18 = 7,426.51/x
  3. Step 3: Cross multiply
    10,614.07x = 14,643.18 × 7,426.51
  4. Step 4: Simplify right side
    10,614.07x = 108,747,722.70
  5. Step 5: Solve for x
    x = 108,747,722.70/10,614.07
  6. Step 6: Final answer
    x = 10,245.62

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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.