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Finding the Fourth Proportional to 7,784.96, 10,743.09 and 4,248.16

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Solution

The fourth proportional to 7,784.96, 10,743.09 and 4,248.16 is: 5,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.96 : 10,743.09 = 4,248.16 : x
  2. Step 2: Convert to fraction form
    7,784.96/10,743.09 = 4,248.16/x
  3. Step 3: Cross multiply
    7,784.96x = 10,743.09 × 4,248.16
  4. Step 4: Simplify right side
    7,784.96x = 45,638,365.21
  5. Step 5: Solve for x
    x = 45,638,365.21/7,784.96
  6. Step 6: Final answer
    x = 5,862.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.