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Finding the Fourth Proportional to 7,670.92, 11,506.80 and 2,406.66

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Solution

The fourth proportional to 7,670.92, 11,506.80 and 2,406.66 is: 3,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.92 : 11,506.80 = 2,406.66 : x
  2. Step 2: Convert to fraction form
    7,670.92/11,506.80 = 2,406.66/x
  3. Step 3: Cross multiply
    7,670.92x = 11,506.80 × 2,406.66
  4. Step 4: Simplify right side
    7,670.92x = 27,692,955.29
  5. Step 5: Solve for x
    x = 27,692,955.29/7,670.92
  6. Step 6: Final answer
    x = 3,610.12

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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.