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Finding the Fourth Proportional to 7,858.08, 11,792.51 and 2,931.66

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Solution

The fourth proportional to 7,858.08, 11,792.51 and 2,931.66 is: 4,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.08 : 11,792.51 = 2,931.66 : x
  2. Step 2: Convert to fraction form
    7,858.08/11,792.51 = 2,931.66/x
  3. Step 3: Cross multiply
    7,858.08x = 11,792.51 × 2,931.66
  4. Step 4: Simplify right side
    7,858.08x = 34,571,629.87
  5. Step 5: Solve for x
    x = 34,571,629.87/7,858.08
  6. Step 6: Final answer
    x = 4,399.50

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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.