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Finding the Fourth Proportional to 7,817.68, 11,718.42 and 4,889.26

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Solution

The fourth proportional to 7,817.68, 11,718.42 and 4,889.26 is: 7,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.68 : 11,718.42 = 4,889.26 : x
  2. Step 2: Convert to fraction form
    7,817.68/11,718.42 = 4,889.26/x
  3. Step 3: Cross multiply
    7,817.68x = 11,718.42 × 4,889.26
  4. Step 4: Simplify right side
    7,817.68x = 57,294,402.17
  5. Step 5: Solve for x
    x = 57,294,402.17/7,817.68
  6. Step 6: Final answer
    x = 7,328.82

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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.