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Finding the Fourth Proportional to 7,155.32, 10,733.02 and 3,257

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Solution

The fourth proportional to 7,155.32, 10,733.02 and 3,257 is: 4,885.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.32 : 10,733.02 = 3,257 : x
  2. Step 2: Convert to fraction form
    7,155.32/10,733.02 = 3,257/x
  3. Step 3: Cross multiply
    7,155.32x = 10,733.02 × 3,257
  4. Step 4: Simplify right side
    7,155.32x = 34,957,446.14
  5. Step 5: Solve for x
    x = 34,957,446.14/7,155.32
  6. Step 6: Final answer
    x = 4,885.52

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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.