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Finding the Fourth Proportional to 10,822.52, 14,935.06 and 5,854.52

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Solution

The fourth proportional to 10,822.52, 14,935.06 and 5,854.52 is: 8,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.52 : 14,935.06 = 5,854.52 : x
  2. Step 2: Convert to fraction form
    10,822.52/14,935.06 = 5,854.52/x
  3. Step 3: Cross multiply
    10,822.52x = 14,935.06 × 5,854.52
  4. Step 4: Simplify right side
    10,822.52x = 87,437,607.47
  5. Step 5: Solve for x
    x = 87,437,607.47/10,822.52
  6. Step 6: Final answer
    x = 8,079.23

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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.