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Finding the Fourth Proportional to 10,822.48, 14,935.08 and 5,854.48

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Solution

The fourth proportional to 10,822.48, 14,935.08 and 5,854.48 is: 8,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.48 : 14,935.08 = 5,854.48 : x
  2. Step 2: Convert to fraction form
    10,822.48/14,935.08 = 5,854.48/x
  3. Step 3: Cross multiply
    10,822.48x = 14,935.08 × 5,854.48
  4. Step 4: Simplify right side
    10,822.48x = 87,437,127.16
  5. Step 5: Solve for x
    x = 87,437,127.16/10,822.48
  6. Step 6: Final answer
    x = 8,079.21

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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.