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Finding the Fourth Proportional to 7,511.76, 11,267.64 and 2,317.68

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Solution

The fourth proportional to 7,511.76, 11,267.64 and 2,317.68 is: 3,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.76 : 11,267.64 = 2,317.68 : x
  2. Step 2: Convert to fraction form
    7,511.76/11,267.64 = 2,317.68/x
  3. Step 3: Cross multiply
    7,511.76x = 11,267.64 × 2,317.68
  4. Step 4: Simplify right side
    7,511.76x = 26,114,783.88
  5. Step 5: Solve for x
    x = 26,114,783.88/7,511.76
  6. Step 6: Final answer
    x = 3,476.52

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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.