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Finding the Fourth Proportional to 31,084.97, 46,627.35 and 7,711.40

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Solution

The fourth proportional to 31,084.97, 46,627.35 and 7,711.40 is: 11,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,084.97 : 46,627.35 = 7,711.40 : x
  2. Step 2: Convert to fraction form
    31,084.97/46,627.35 = 7,711.40/x
  3. Step 3: Cross multiply
    31,084.97x = 46,627.35 × 7,711.40
  4. Step 4: Simplify right side
    31,084.97x = 359,561,913.65
  5. Step 5: Solve for x
    x = 359,561,913.65/31,084.97
  6. Step 6: Final answer
    x = 11,567.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.