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Finding the Fourth Proportional to 12,854.79, 19,283.04 and 4,961.07

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Solution

The fourth proportional to 12,854.79, 19,283.04 and 4,961.07 is: 7,441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.79 : 19,283.04 = 4,961.07 : x
  2. Step 2: Convert to fraction form
    12,854.79/19,283.04 = 4,961.07/x
  3. Step 3: Cross multiply
    12,854.79x = 19,283.04 × 4,961.07
  4. Step 4: Simplify right side
    12,854.79x = 95,664,511.25
  5. Step 5: Solve for x
    x = 95,664,511.25/12,854.79
  6. Step 6: Final answer
    x = 7,441.93

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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.