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Finding the Fourth Proportional to 7,718.70, 11,583.45 and 4,952.10

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Solution

The fourth proportional to 7,718.70, 11,583.45 and 4,952.10 is: 7,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.70 : 11,583.45 = 4,952.10 : x
  2. Step 2: Convert to fraction form
    7,718.70/11,583.45 = 4,952.10/x
  3. Step 3: Cross multiply
    7,718.70x = 11,583.45 × 4,952.10
  4. Step 4: Simplify right side
    7,718.70x = 57,362,402.75
  5. Step 5: Solve for x
    x = 57,362,402.75/7,718.70
  6. Step 6: Final answer
    x = 7,431.61

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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.