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Finding the Fourth Proportional to 13,105.57, 18,085.76 and 7,137.40

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Solution

The fourth proportional to 13,105.57, 18,085.76 and 7,137.40 is: 9,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.57 : 18,085.76 = 7,137.40 : x
  2. Step 2: Convert to fraction form
    13,105.57/18,085.76 = 7,137.40/x
  3. Step 3: Cross multiply
    13,105.57x = 18,085.76 × 7,137.40
  4. Step 4: Simplify right side
    13,105.57x = 129,085,303.42
  5. Step 5: Solve for x
    x = 129,085,303.42/13,105.57
  6. Step 6: Final answer
    x = 9,849.65

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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.