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Finding the Fourth Proportional to 7,743.95, 10,686.43 and 4,207.16

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Solution

The fourth proportional to 7,743.95, 10,686.43 and 4,207.16 is: 5,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.95 : 10,686.43 = 4,207.16 : x
  2. Step 2: Convert to fraction form
    7,743.95/10,686.43 = 4,207.16/x
  3. Step 3: Cross multiply
    7,743.95x = 10,686.43 × 4,207.16
  4. Step 4: Simplify right side
    7,743.95x = 44,959,492.70
  5. Step 5: Solve for x
    x = 44,959,492.70/7,743.95
  6. Step 6: Final answer
    x = 5,805.75

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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.