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Finding the Fourth Proportional to 11,511.32, 15,880.26 and 7,477.87

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Solution

The fourth proportional to 11,511.32, 15,880.26 and 7,477.87 is: 10,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.32 : 15,880.26 = 7,477.87 : x
  2. Step 2: Convert to fraction form
    11,511.32/15,880.26 = 7,477.87/x
  3. Step 3: Cross multiply
    11,511.32x = 15,880.26 × 7,477.87
  4. Step 4: Simplify right side
    11,511.32x = 118,750,519.85
  5. Step 5: Solve for x
    x = 118,750,519.85/11,511.32
  6. Step 6: Final answer
    x = 10,315.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.