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Finding the Fourth Proportional to 10,338.03, 14,266.86 and 6,358.41

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Solution

The fourth proportional to 10,338.03, 14,266.86 and 6,358.41 is: 8,774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.03 : 14,266.86 = 6,358.41 : x
  2. Step 2: Convert to fraction form
    10,338.03/14,266.86 = 6,358.41/x
  3. Step 3: Cross multiply
    10,338.03x = 14,266.86 × 6,358.41
  4. Step 4: Simplify right side
    10,338.03x = 90,714,545.29
  5. Step 5: Solve for x
    x = 90,714,545.29/10,338.03
  6. Step 6: Final answer
    x = 8,774.84

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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.