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Finding the Fourth Proportional to 7,814.08, 10,782.40 and 5,019.04

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Solution

The fourth proportional to 7,814.08, 10,782.40 and 5,019.04 is: 6,925.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.08 : 10,782.40 = 5,019.04 : x
  2. Step 2: Convert to fraction form
    7,814.08/10,782.40 = 5,019.04/x
  3. Step 3: Cross multiply
    7,814.08x = 10,782.40 × 5,019.04
  4. Step 4: Simplify right side
    7,814.08x = 54,117,296.90
  5. Step 5: Solve for x
    x = 54,117,296.90/7,814.08
  6. Step 6: Final answer
    x = 6,925.61

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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.