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Finding the Fourth Proportional to 11,296.42, 15,590.16 and 6,262.28

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Solution

The fourth proportional to 11,296.42, 15,590.16 and 6,262.28 is: 8,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.42 : 15,590.16 = 6,262.28 : x
  2. Step 2: Convert to fraction form
    11,296.42/15,590.16 = 6,262.28/x
  3. Step 3: Cross multiply
    11,296.42x = 15,590.16 × 6,262.28
  4. Step 4: Simplify right side
    11,296.42x = 97,629,947.16
  5. Step 5: Solve for x
    x = 97,629,947.16/11,296.42
  6. Step 6: Final answer
    x = 8,642.56

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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.