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Finding the Fourth Proportional to 7,650.85, 11,476.40 and 2,386

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Solution

The fourth proportional to 7,650.85, 11,476.40 and 2,386 is: 3,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.85 : 11,476.40 = 2,386 : x
  2. Step 2: Convert to fraction form
    7,650.85/11,476.40 = 2,386/x
  3. Step 3: Cross multiply
    7,650.85x = 11,476.40 × 2,386
  4. Step 4: Simplify right side
    7,650.85x = 27,382,690.40
  5. Step 5: Solve for x
    x = 27,382,690.40/7,650.85
  6. Step 6: Final answer
    x = 3,579.04

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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.