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Finding the Fourth Proportional to 11,335.14, 15,640.09 and 6,617.30

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Solution

The fourth proportional to 11,335.14, 15,640.09 and 6,617.30 is: 9,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,335.14 : 15,640.09 = 6,617.30 : x
  2. Step 2: Convert to fraction form
    11,335.14/15,640.09 = 6,617.30/x
  3. Step 3: Cross multiply
    11,335.14x = 15,640.09 × 6,617.30
  4. Step 4: Simplify right side
    11,335.14x = 103,495,072.81
  5. Step 5: Solve for x
    x = 103,495,072.81/11,335.14
  6. Step 6: Final answer
    x = 9,130.46

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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.