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Finding the Fourth Proportional to 34,760.95, 52,140.88 and 8,465.47

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Solution

The fourth proportional to 34,760.95, 52,140.88 and 8,465.47 is: 12,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.95 : 52,140.88 = 8,465.47 : x
  2. Step 2: Convert to fraction form
    34,760.95/52,140.88 = 8,465.47/x
  3. Step 3: Cross multiply
    34,760.95x = 52,140.88 × 8,465.47
  4. Step 4: Simplify right side
    34,760.95x = 441,397,055.41
  5. Step 5: Solve for x
    x = 441,397,055.41/34,760.95
  6. Step 6: Final answer
    x = 12,698.07

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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.