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Finding the Fourth Proportional to 10,663.68, 14,712.33 and 6,889.39

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Solution

The fourth proportional to 10,663.68, 14,712.33 and 6,889.39 is: 9,505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.68 : 14,712.33 = 6,889.39 : x
  2. Step 2: Convert to fraction form
    10,663.68/14,712.33 = 6,889.39/x
  3. Step 3: Cross multiply
    10,663.68x = 14,712.33 × 6,889.39
  4. Step 4: Simplify right side
    10,663.68x = 101,358,968.23
  5. Step 5: Solve for x
    x = 101,358,968.23/10,663.68
  6. Step 6: Final answer
    x = 9,505.06

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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.