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Finding the Fourth Proportional to 11,750.26, 16,214.80 and 7,037.14

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Solution

The fourth proportional to 11,750.26, 16,214.80 and 7,037.14 is: 9,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.26 : 16,214.80 = 7,037.14 : x
  2. Step 2: Convert to fraction form
    11,750.26/16,214.80 = 7,037.14/x
  3. Step 3: Cross multiply
    11,750.26x = 16,214.80 × 7,037.14
  4. Step 4: Simplify right side
    11,750.26x = 114,105,817.67
  5. Step 5: Solve for x
    x = 114,105,817.67/11,750.26
  6. Step 6: Final answer
    x = 9,710.92

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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.