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Finding the Fourth Proportional to 7,746.09, 10,691.16 and 4,601.67

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Solution

The fourth proportional to 7,746.09, 10,691.16 and 4,601.67 is: 6,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.09 : 10,691.16 = 4,601.67 : x
  2. Step 2: Convert to fraction form
    7,746.09/10,691.16 = 4,601.67/x
  3. Step 3: Cross multiply
    7,746.09x = 10,691.16 × 4,601.67
  4. Step 4: Simplify right side
    7,746.09x = 49,197,190.24
  5. Step 5: Solve for x
    x = 49,197,190.24/7,746.09
  6. Step 6: Final answer
    x = 6,351.23

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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.