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Finding the Fourth Proportional to 10,206.50, 14,090.73 and 7,718.18

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Solution

The fourth proportional to 10,206.50, 14,090.73 and 7,718.18 is: 10,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.50 : 14,090.73 = 7,718.18 : x
  2. Step 2: Convert to fraction form
    10,206.50/14,090.73 = 7,718.18/x
  3. Step 3: Cross multiply
    10,206.50x = 14,090.73 × 7,718.18
  4. Step 4: Simplify right side
    10,206.50x = 108,754,790.47
  5. Step 5: Solve for x
    x = 108,754,790.47/10,206.50
  6. Step 6: Final answer
    x = 10,655.44

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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.