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Finding the Fourth Proportional to 7,666.17, 11,497.43 and 2,119.40

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Solution

The fourth proportional to 7,666.17, 11,497.43 and 2,119.40 is: 3,178.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.17 : 11,497.43 = 2,119.40 : x
  2. Step 2: Convert to fraction form
    7,666.17/11,497.43 = 2,119.40/x
  3. Step 3: Cross multiply
    7,666.17x = 11,497.43 × 2,119.40
  4. Step 4: Simplify right side
    7,666.17x = 24,367,585.06
  5. Step 5: Solve for x
    x = 24,367,585.06/7,666.17
  6. Step 6: Final answer
    x = 3,178.59

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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.