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Finding the Fourth Proportional to 10,616.29, 14,648.09 and 6,424.45

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Solution

The fourth proportional to 10,616.29, 14,648.09 and 6,424.45 is: 8,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.29 : 14,648.09 = 6,424.45 : x
  2. Step 2: Convert to fraction form
    10,616.29/14,648.09 = 6,424.45/x
  3. Step 3: Cross multiply
    10,616.29x = 14,648.09 × 6,424.45
  4. Step 4: Simplify right side
    10,616.29x = 94,105,864.62
  5. Step 5: Solve for x
    x = 94,105,864.62/10,616.29
  6. Step 6: Final answer
    x = 8,864.29

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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.