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Finding the Fourth Proportional to 10,809.65, 16,216.16 and 4,569.69

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Solution

The fourth proportional to 10,809.65, 16,216.16 and 4,569.69 is: 6,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.65 : 16,216.16 = 4,569.69 : x
  2. Step 2: Convert to fraction form
    10,809.65/16,216.16 = 4,569.69/x
  3. Step 3: Cross multiply
    10,809.65x = 16,216.16 × 4,569.69
  4. Step 4: Simplify right side
    10,809.65x = 74,102,824.19
  5. Step 5: Solve for x
    x = 74,102,824.19/10,809.65
  6. Step 6: Final answer
    x = 6,855.25

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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.