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Finding the Fourth Proportional to 7,661.62, 11,492.74 and 3,501.86

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Solution

The fourth proportional to 7,661.62, 11,492.74 and 3,501.86 is: 5,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.62 : 11,492.74 = 3,501.86 : x
  2. Step 2: Convert to fraction form
    7,661.62/11,492.74 = 3,501.86/x
  3. Step 3: Cross multiply
    7,661.62x = 11,492.74 × 3,501.86
  4. Step 4: Simplify right side
    7,661.62x = 40,245,966.50
  5. Step 5: Solve for x
    x = 40,245,966.50/7,661.62
  6. Step 6: Final answer
    x = 5,252.93

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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.