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Finding the Fourth Proportional to 11,410.62, 15,746.68 and 6,442.62

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Solution

The fourth proportional to 11,410.62, 15,746.68 and 6,442.62 is: 8,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.62 : 15,746.68 = 6,442.62 : x
  2. Step 2: Convert to fraction form
    11,410.62/15,746.68 = 6,442.62/x
  3. Step 3: Cross multiply
    11,410.62x = 15,746.68 × 6,442.62
  4. Step 4: Simplify right side
    11,410.62x = 101,449,875.50
  5. Step 5: Solve for x
    x = 101,449,875.50/11,410.62
  6. Step 6: Final answer
    x = 8,890.83

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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.