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Finding the Fourth Proportional to 10,822.68, 14,935.73 and 6,345.81

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Solution

The fourth proportional to 10,822.68, 14,935.73 and 6,345.81 is: 8,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.68 : 14,935.73 = 6,345.81 : x
  2. Step 2: Convert to fraction form
    10,822.68/14,935.73 = 6,345.81/x
  3. Step 3: Cross multiply
    10,822.68x = 14,935.73 × 6,345.81
  4. Step 4: Simplify right side
    10,822.68x = 94,779,273.06
  5. Step 5: Solve for x
    x = 94,779,273.06/10,822.68
  6. Step 6: Final answer
    x = 8,757.47

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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.