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Finding the Fourth Proportional to 7,497.60, 11,248.22 and 3,112.67

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Solution

The fourth proportional to 7,497.60, 11,248.22 and 3,112.67 is: 4,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.60 : 11,248.22 = 3,112.67 : x
  2. Step 2: Convert to fraction form
    7,497.60/11,248.22 = 3,112.67/x
  3. Step 3: Cross multiply
    7,497.60x = 11,248.22 × 3,112.67
  4. Step 4: Simplify right side
    7,497.60x = 35,011,925.14
  5. Step 5: Solve for x
    x = 35,011,925.14/7,497.60
  6. Step 6: Final answer
    x = 4,669.75

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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.