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Finding the Fourth Proportional to 10,538.64, 14,543.51 and 5,822.96

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Solution

The fourth proportional to 10,538.64, 14,543.51 and 5,822.96 is: 8,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.64 : 14,543.51 = 5,822.96 : x
  2. Step 2: Convert to fraction form
    10,538.64/14,543.51 = 5,822.96/x
  3. Step 3: Cross multiply
    10,538.64x = 14,543.51 × 5,822.96
  4. Step 4: Simplify right side
    10,538.64x = 84,686,175.16
  5. Step 5: Solve for x
    x = 84,686,175.16/10,538.64
  6. Step 6: Final answer
    x = 8,035.78

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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.