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Finding the Fourth Proportional to 10,221.12, 14,102.64 and 5,743.98

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Solution

The fourth proportional to 10,221.12, 14,102.64 and 5,743.98 is: 7,925.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.12 : 14,102.64 = 5,743.98 : x
  2. Step 2: Convert to fraction form
    10,221.12/14,102.64 = 5,743.98/x
  3. Step 3: Cross multiply
    10,221.12x = 14,102.64 × 5,743.98
  4. Step 4: Simplify right side
    10,221.12x = 81,005,282.11
  5. Step 5: Solve for x
    x = 81,005,282.11/10,221.12
  6. Step 6: Final answer
    x = 7,925.28

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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.