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Finding the Fourth Proportional to 11,383.16, 15,702.48 and 7,140.44

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Solution

The fourth proportional to 11,383.16, 15,702.48 and 7,140.44 is: 9,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.16 : 15,702.48 = 7,140.44 : x
  2. Step 2: Convert to fraction form
    11,383.16/15,702.48 = 7,140.44/x
  3. Step 3: Cross multiply
    11,383.16x = 15,702.48 × 7,140.44
  4. Step 4: Simplify right side
    11,383.16x = 112,122,616.29
  5. Step 5: Solve for x
    x = 112,122,616.29/11,383.16
  6. Step 6: Final answer
    x = 9,849.87

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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.