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Finding the Fourth Proportional to 7,784.62, 11,621.50 and 7,511.24

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Solution

The fourth proportional to 7,784.62, 11,621.50 and 7,511.24 is: 11,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.62 : 11,621.50 = 7,511.24 : x
  2. Step 2: Convert to fraction form
    7,784.62/11,621.50 = 7,511.24/x
  3. Step 3: Cross multiply
    7,784.62x = 11,621.50 × 7,511.24
  4. Step 4: Simplify right side
    7,784.62x = 87,291,875.66
  5. Step 5: Solve for x
    x = 87,291,875.66/7,784.62
  6. Step 6: Final answer
    x = 11,213.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.