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Finding the Fourth Proportional to 7,756.49, 11,630.09 and 5,260.74

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Solution

The fourth proportional to 7,756.49, 11,630.09 and 5,260.74 is: 7,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.49 : 11,630.09 = 5,260.74 : x
  2. Step 2: Convert to fraction form
    7,756.49/11,630.09 = 5,260.74/x
  3. Step 3: Cross multiply
    7,756.49x = 11,630.09 × 5,260.74
  4. Step 4: Simplify right side
    7,756.49x = 61,182,853.36
  5. Step 5: Solve for x
    x = 61,182,853.36/7,756.49
  6. Step 6: Final answer
    x = 7,887.96

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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.