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Finding the Fourth Proportional to 7,784.90, 10,743.15 and 4,248.11

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Solution

The fourth proportional to 7,784.90, 10,743.15 and 4,248.11 is: 5,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.90 : 10,743.15 = 4,248.11 : x
  2. Step 2: Convert to fraction form
    7,784.90/10,743.15 = 4,248.11/x
  3. Step 3: Cross multiply
    7,784.90x = 10,743.15 × 4,248.11
  4. Step 4: Simplify right side
    7,784.90x = 45,638,029.23
  5. Step 5: Solve for x
    x = 45,638,029.23/7,784.90
  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.