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Finding the Fourth Proportional to 7,676.64, 11,515.68 and 3,060

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Solution

The fourth proportional to 7,676.64, 11,515.68 and 3,060 is: 4,590.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676.64 : 11,515.68 = 3,060 : x
  2. Step 2: Convert to fraction form
    7,676.64/11,515.68 = 3,060/x
  3. Step 3: Cross multiply
    7,676.64x = 11,515.68 × 3,060
  4. Step 4: Simplify right side
    7,676.64x = 35,237,980.80
  5. Step 5: Solve for x
    x = 35,237,980.80/7,676.64
  6. Step 6: Final answer
    x = 4,590.29

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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.