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Finding the Fourth Proportional to 7,334.64, 11,002.44 and 3,117.12

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Solution

The fourth proportional to 7,334.64, 11,002.44 and 3,117.12 is: 4,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.64 : 11,002.44 = 3,117.12 : x
  2. Step 2: Convert to fraction form
    7,334.64/11,002.44 = 3,117.12/x
  3. Step 3: Cross multiply
    7,334.64x = 11,002.44 × 3,117.12
  4. Step 4: Simplify right side
    7,334.64x = 34,295,925.77
  5. Step 5: Solve for x
    x = 34,295,925.77/7,334.64
  6. Step 6: Final answer
    x = 4,675.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.