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Finding the Fourth Proportional to 10,333.49, 14,265.65 and 8,294.72

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Solution

The fourth proportional to 10,333.49, 14,265.65 and 8,294.72 is: 11,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.49 : 14,265.65 = 8,294.72 : x
  2. Step 2: Convert to fraction form
    10,333.49/14,265.65 = 8,294.72/x
  3. Step 3: Cross multiply
    10,333.49x = 14,265.65 × 8,294.72
  4. Step 4: Simplify right side
    10,333.49x = 118,329,521.78
  5. Step 5: Solve for x
    x = 118,329,521.78/10,333.49
  6. Step 6: Final answer
    x = 11,451.08

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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.