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Finding the Fourth Proportional to 7,814.00, 11,714.93 and 3,862.53

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Solution

The fourth proportional to 7,814.00, 11,714.93 and 3,862.53 is: 5,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.00 : 11,714.93 = 3,862.53 : x
  2. Step 2: Convert to fraction form
    7,814.00/11,714.93 = 3,862.53/x
  3. Step 3: Cross multiply
    7,814.00x = 11,714.93 × 3,862.53
  4. Step 4: Simplify right side
    7,814.00x = 45,249,249.26
  5. Step 5: Solve for x
    x = 45,249,249.26/7,814.00
  6. Step 6: Final answer
    x = 5,790.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.