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Finding the Fourth Proportional to 7,492.95, 11,246.40 and 3,797.82

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Solution

The fourth proportional to 7,492.95, 11,246.40 and 3,797.82 is: 5,700.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,492.95 : 11,246.40 = 3,797.82 : x
  2. Step 2: Convert to fraction form
    7,492.95/11,246.40 = 3,797.82/x
  3. Step 3: Cross multiply
    7,492.95x = 11,246.40 × 3,797.82
  4. Step 4: Simplify right side
    7,492.95x = 42,711,802.85
  5. Step 5: Solve for x
    x = 42,711,802.85/7,492.95
  6. Step 6: Final answer
    x = 5,700.27

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Why These Related Problems?

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