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Finding the Fourth Proportional to 11,283.83, 15,563.97 and 7,740.89

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Solution

The fourth proportional to 11,283.83, 15,563.97 and 7,740.89 is: 10,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.83 : 15,563.97 = 7,740.89 : x
  2. Step 2: Convert to fraction form
    11,283.83/15,563.97 = 7,740.89/x
  3. Step 3: Cross multiply
    11,283.83x = 15,563.97 × 7,740.89
  4. Step 4: Simplify right side
    11,283.83x = 120,478,901.91
  5. Step 5: Solve for x
    x = 120,478,901.91/11,283.83
  6. Step 6: Final answer
    x = 10,677.13

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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.