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Finding the Fourth Proportional to 7,828.70, 10,802.43 and 4,470.80

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Solution

The fourth proportional to 7,828.70, 10,802.43 and 4,470.80 is: 6,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.70 : 10,802.43 = 4,470.80 : x
  2. Step 2: Convert to fraction form
    7,828.70/10,802.43 = 4,470.80/x
  3. Step 3: Cross multiply
    7,828.70x = 10,802.43 × 4,470.80
  4. Step 4: Simplify right side
    7,828.70x = 48,295,431.17
  5. Step 5: Solve for x
    x = 48,295,431.17/7,828.70
  6. Step 6: Final answer
    x = 6,169.03

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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.