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Finding the Fourth Proportional to 7,828.80, 10,814.10 and 5,835.90

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Solution

The fourth proportional to 7,828.80, 10,814.10 and 5,835.90 is: 8,061.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.80 : 10,814.10 = 5,835.90 : x
  2. Step 2: Convert to fraction form
    7,828.80/10,814.10 = 5,835.90/x
  3. Step 3: Cross multiply
    7,828.80x = 10,814.10 × 5,835.90
  4. Step 4: Simplify right side
    7,828.80x = 63,110,006.19
  5. Step 5: Solve for x
    x = 63,110,006.19/7,828.80
  6. Step 6: Final answer
    x = 8,061.26

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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.