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Finding the Fourth Proportional to 8,410.95, 12,602.52 and 5,114.07

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Solution

The fourth proportional to 8,410.95, 12,602.52 and 5,114.07 is: 7,662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.95 : 12,602.52 = 5,114.07 : x
  2. Step 2: Convert to fraction form
    8,410.95/12,602.52 = 5,114.07/x
  3. Step 3: Cross multiply
    8,410.95x = 12,602.52 × 5,114.07
  4. Step 4: Simplify right side
    8,410.95x = 64,450,169.46
  5. Step 5: Solve for x
    x = 64,450,169.46/8,410.95
  6. Step 6: Final answer
    x = 7,662.65

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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.