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Finding the Fourth Proportional to 10,808.29, 16,215.07 and 4,564.95

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Solution

The fourth proportional to 10,808.29, 16,215.07 and 4,564.95 is: 6,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.29 : 16,215.07 = 4,564.95 : x
  2. Step 2: Convert to fraction form
    10,808.29/16,215.07 = 4,564.95/x
  3. Step 3: Cross multiply
    10,808.29x = 16,215.07 × 4,564.95
  4. Step 4: Simplify right side
    10,808.29x = 74,020,983.80
  5. Step 5: Solve for x
    x = 74,020,983.80/10,808.29
  6. Step 6: Final answer
    x = 6,848.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.