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Finding the Fourth Proportional to 7,642.50, 11,457.88 and 3,691.74

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Solution

The fourth proportional to 7,642.50, 11,457.88 and 3,691.74 is: 5,534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.50 : 11,457.88 = 3,691.74 : x
  2. Step 2: Convert to fraction form
    7,642.50/11,457.88 = 3,691.74/x
  3. Step 3: Cross multiply
    7,642.50x = 11,457.88 × 3,691.74
  4. Step 4: Simplify right side
    7,642.50x = 42,299,513.91
  5. Step 5: Solve for x
    x = 42,299,513.91/7,642.50
  6. Step 6: Final answer
    x = 5,534.77

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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.