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Finding the Fourth Proportional to 7,746.84, 10,690.34 and 4,209.93

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Solution

The fourth proportional to 7,746.84, 10,690.34 and 4,209.93 is: 5,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.84 : 10,690.34 = 4,209.93 : x
  2. Step 2: Convert to fraction form
    7,746.84/10,690.34 = 4,209.93/x
  3. Step 3: Cross multiply
    7,746.84x = 10,690.34 × 4,209.93
  4. Step 4: Simplify right side
    7,746.84x = 45,005,583.08
  5. Step 5: Solve for x
    x = 45,005,583.08/7,746.84
  6. Step 6: Final answer
    x = 5,809.54

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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.