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Finding the Fourth Proportional to 11,783.34, 17,640.45 and 7,135.02

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Solution

The fourth proportional to 11,783.34, 17,640.45 and 7,135.02 is: 10,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.34 : 17,640.45 = 7,135.02 : x
  2. Step 2: Convert to fraction form
    11,783.34/17,640.45 = 7,135.02/x
  3. Step 3: Cross multiply
    11,783.34x = 17,640.45 × 7,135.02
  4. Step 4: Simplify right side
    11,783.34x = 125,864,963.56
  5. Step 5: Solve for x
    x = 125,864,963.56/11,783.34
  6. Step 6: Final answer
    x = 10,681.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.