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Finding the Fourth Proportional to 11,298.16, 15,582.67 and 6,817.24

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Solution

The fourth proportional to 11,298.16, 15,582.67 and 6,817.24 is: 9,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.16 : 15,582.67 = 6,817.24 : x
  2. Step 2: Convert to fraction form
    11,298.16/15,582.67 = 6,817.24/x
  3. Step 3: Cross multiply
    11,298.16x = 15,582.67 × 6,817.24
  4. Step 4: Simplify right side
    11,298.16x = 106,230,745.23
  5. Step 5: Solve for x
    x = 106,230,745.23/11,298.16
  6. Step 6: Final answer
    x = 9,402.48

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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.