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Finding the Fourth Proportional to 11,410.26, 15,746.04 and 6,693.63

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Solution

The fourth proportional to 11,410.26, 15,746.04 and 6,693.63 is: 9,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,410.26 : 15,746.04 = 6,693.63 : x
  2. Step 2: Convert to fraction form
    11,410.26/15,746.04 = 6,693.63/x
  3. Step 3: Cross multiply
    11,410.26x = 15,746.04 × 6,693.63
  4. Step 4: Simplify right side
    11,410.26x = 105,398,165.73
  5. Step 5: Solve for x
    x = 105,398,165.73/11,410.26
  6. Step 6: Final answer
    x = 9,237.14

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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.