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Finding the Fourth Proportional to 7,666.37, 11,497.71 and 2,119.58

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Solution

The fourth proportional to 7,666.37, 11,497.71 and 2,119.58 is: 3,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.37 : 11,497.71 = 2,119.58 : x
  2. Step 2: Convert to fraction form
    7,666.37/11,497.71 = 2,119.58/x
  3. Step 3: Cross multiply
    7,666.37x = 11,497.71 × 2,119.58
  4. Step 4: Simplify right side
    7,666.37x = 24,370,258.67
  5. Step 5: Solve for x
    x = 24,370,258.67/7,666.37
  6. Step 6: Final answer
    x = 3,178.85

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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.