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Finding the Fourth Proportional to 34,660.78, 51,990.71 and 8,365.40

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Solution

The fourth proportional to 34,660.78, 51,990.71 and 8,365.40 is: 12,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,660.78 : 51,990.71 = 8,365.40 : x
  2. Step 2: Convert to fraction form
    34,660.78/51,990.71 = 8,365.40/x
  3. Step 3: Cross multiply
    34,660.78x = 51,990.71 × 8,365.40
  4. Step 4: Simplify right side
    34,660.78x = 434,923,085.43
  5. Step 5: Solve for x
    x = 434,923,085.43/34,660.78
  6. Step 6: Final answer
    x = 12,547.99

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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.