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Finding the Fourth Proportional to 7,746.33, 10,690.07 and 4,209.55

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Solution

The fourth proportional to 7,746.33, 10,690.07 and 4,209.55 is: 5,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.33 : 10,690.07 = 4,209.55 : x
  2. Step 2: Convert to fraction form
    7,746.33/10,690.07 = 4,209.55/x
  3. Step 3: Cross multiply
    7,746.33x = 10,690.07 × 4,209.55
  4. Step 4: Simplify right side
    7,746.33x = 45,000,384.17
  5. Step 5: Solve for x
    x = 45,000,384.17/7,746.33
  6. Step 6: Final answer
    x = 5,809.25

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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.