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Finding the Fourth Proportional to 7,887.53, 11,802 and 4,952.09

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Solution

The fourth proportional to 7,887.53, 11,802 and 4,952.09 is: 7,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.53 : 11,802 = 4,952.09 : x
  2. Step 2: Convert to fraction form
    7,887.53/11,802 = 4,952.09/x
  3. Step 3: Cross multiply
    7,887.53x = 11,802 × 4,952.09
  4. Step 4: Simplify right side
    7,887.53x = 58,444,566.18
  5. Step 5: Solve for x
    x = 58,444,566.18/7,887.53
  6. Step 6: Final answer
    x = 7,409.74

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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.