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Finding the Fourth Proportional to 7,689.98, 10,612.08 and 4,333.14

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Solution

The fourth proportional to 7,689.98, 10,612.08 and 4,333.14 is: 5,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.98 : 10,612.08 = 4,333.14 : x
  2. Step 2: Convert to fraction form
    7,689.98/10,612.08 = 4,333.14/x
  3. Step 3: Cross multiply
    7,689.98x = 10,612.08 × 4,333.14
  4. Step 4: Simplify right side
    7,689.98x = 45,983,628.33
  5. Step 5: Solve for x
    x = 45,983,628.33/7,689.98
  6. Step 6: Final answer
    x = 5,979.68

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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.