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Finding the Fourth Proportional to 10,219.65, 14,108.22 and 6,688.26

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Solution

The fourth proportional to 10,219.65, 14,108.22 and 6,688.26 is: 9,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219.65 : 14,108.22 = 6,688.26 : x
  2. Step 2: Convert to fraction form
    10,219.65/14,108.22 = 6,688.26/x
  3. Step 3: Cross multiply
    10,219.65x = 14,108.22 × 6,688.26
  4. Step 4: Simplify right side
    10,219.65x = 94,359,372.96
  5. Step 5: Solve for x
    x = 94,359,372.96/10,219.65
  6. Step 6: Final answer
    x = 9,233.13

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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.