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Finding the Fourth Proportional to 11,383.48, 15,706.74 and 6,669.40

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Solution

The fourth proportional to 11,383.48, 15,706.74 and 6,669.40 is: 9,202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.48 : 15,706.74 = 6,669.40 : x
  2. Step 2: Convert to fraction form
    11,383.48/15,706.74 = 6,669.40/x
  3. Step 3: Cross multiply
    11,383.48x = 15,706.74 × 6,669.40
  4. Step 4: Simplify right side
    11,383.48x = 104,754,531.76
  5. Step 5: Solve for x
    x = 104,754,531.76/11,383.48
  6. Step 6: Final answer
    x = 9,202.33

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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.