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Finding the Fourth Proportional to 13,105.64, 18,085.16 and 7,137.28

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Solution

The fourth proportional to 13,105.64, 18,085.16 and 7,137.28 is: 9,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.64 : 18,085.16 = 7,137.28 : x
  2. Step 2: Convert to fraction form
    13,105.64/18,085.16 = 7,137.28/x
  3. Step 3: Cross multiply
    13,105.64x = 18,085.16 × 7,137.28
  4. Step 4: Simplify right side
    13,105.64x = 129,078,823.40
  5. Step 5: Solve for x
    x = 129,078,823.40/13,105.64
  6. Step 6: Final answer
    x = 9,849.10

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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.