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Finding the Fourth Proportional to 7,827.20, 10,802.72 and 4,470.72

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Solution

The fourth proportional to 7,827.20, 10,802.72 and 4,470.72 is: 6,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.20 : 10,802.72 = 4,470.72 : x
  2. Step 2: Convert to fraction form
    7,827.20/10,802.72 = 4,470.72/x
  3. Step 3: Cross multiply
    7,827.20x = 10,802.72 × 4,470.72
  4. Step 4: Simplify right side
    7,827.20x = 48,295,936.36
  5. Step 5: Solve for x
    x = 48,295,936.36/7,827.20
  6. Step 6: Final answer
    x = 6,170.27

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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.