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Finding the Fourth Proportional to 8,569.42, 11,822.07 and 5,026.48

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Solution

The fourth proportional to 8,569.42, 11,822.07 and 5,026.48 is: 6,934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.42 : 11,822.07 = 5,026.48 : x
  2. Step 2: Convert to fraction form
    8,569.42/11,822.07 = 5,026.48/x
  3. Step 3: Cross multiply
    8,569.42x = 11,822.07 × 5,026.48
  4. Step 4: Simplify right side
    8,569.42x = 59,423,398.41
  5. Step 5: Solve for x
    x = 59,423,398.41/8,569.42
  6. Step 6: Final answer
    x = 6,934.35

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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.