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Finding the Fourth Proportional to 11,511.90, 15,885.90 and 6,476.40

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Solution

The fourth proportional to 11,511.90, 15,885.90 and 6,476.40 is: 8,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.90 : 15,885.90 = 6,476.40 : x
  2. Step 2: Convert to fraction form
    11,511.90/15,885.90 = 6,476.40/x
  3. Step 3: Cross multiply
    11,511.90x = 15,885.90 × 6,476.40
  4. Step 4: Simplify right side
    11,511.90x = 102,883,442.76
  5. Step 5: Solve for x
    x = 102,883,442.76/11,511.90
  6. Step 6: Final answer
    x = 8,937.14

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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.