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Finding the Fourth Proportional to 11,023.34, 15,214.64 and 7,246.86

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Solution

The fourth proportional to 11,023.34, 15,214.64 and 7,246.86 is: 10,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,023.34 : 15,214.64 = 7,246.86 : x
  2. Step 2: Convert to fraction form
    11,023.34/15,214.64 = 7,246.86/x
  3. Step 3: Cross multiply
    11,023.34x = 15,214.64 × 7,246.86
  4. Step 4: Simplify right side
    11,023.34x = 110,258,366.03
  5. Step 5: Solve for x
    x = 110,258,366.03/11,023.34
  6. Step 6: Final answer
    x = 10,002.26

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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.