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Finding the Fourth Proportional to 7,746.66, 10,690.20 and 4,209.84

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Solution

The fourth proportional to 7,746.66, 10,690.20 and 4,209.84 is: 5,809.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.66 : 10,690.20 = 4,209.84 : x
  2. Step 2: Convert to fraction form
    7,746.66/10,690.20 = 4,209.84/x
  3. Step 3: Cross multiply
    7,746.66x = 10,690.20 × 4,209.84
  4. Step 4: Simplify right side
    7,746.66x = 45,004,031.57
  5. Step 5: Solve for x
    x = 45,004,031.57/7,746.66
  6. Step 6: Final answer
    x = 5,809.48

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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.