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Finding the Fourth Proportional to 10,616.34, 15,924.66 and 4,043.19

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Solution

The fourth proportional to 10,616.34, 15,924.66 and 4,043.19 is: 6,064.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.34 : 15,924.66 = 4,043.19 : x
  2. Step 2: Convert to fraction form
    10,616.34/15,924.66 = 4,043.19/x
  3. Step 3: Cross multiply
    10,616.34x = 15,924.66 × 4,043.19
  4. Step 4: Simplify right side
    10,616.34x = 64,386,426.07
  5. Step 5: Solve for x
    x = 64,386,426.07/10,616.34
  6. Step 6: Final answer
    x = 6,064.84

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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.