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Finding the Fourth Proportional to 11,210.94, 15,470.48 and 6,174.17

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Solution

The fourth proportional to 11,210.94, 15,470.48 and 6,174.17 is: 8,520.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.94 : 15,470.48 = 6,174.17 : x
  2. Step 2: Convert to fraction form
    11,210.94/15,470.48 = 6,174.17/x
  3. Step 3: Cross multiply
    11,210.94x = 15,470.48 × 6,174.17
  4. Step 4: Simplify right side
    11,210.94x = 95,517,373.50
  5. Step 5: Solve for x
    x = 95,517,373.50/11,210.94
  6. Step 6: Final answer
    x = 8,520.02

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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.