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Finding the Fourth Proportional to 10,614.11, 14,643.20 and 6,415.07

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Solution

The fourth proportional to 10,614.11, 14,643.20 and 6,415.07 is: 8,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.11 : 14,643.20 = 6,415.07 : x
  2. Step 2: Convert to fraction form
    10,614.11/14,643.20 = 6,415.07/x
  3. Step 3: Cross multiply
    10,614.11x = 14,643.20 × 6,415.07
  4. Step 4: Simplify right side
    10,614.11x = 93,937,120.95
  5. Step 5: Solve for x
    x = 93,937,120.95/10,614.11
  6. Step 6: Final answer
    x = 8,850.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.