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Finding the Fourth Proportional to 11,814.30, 16,300.79 and 7,617.50

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Solution

The fourth proportional to 11,814.30, 16,300.79 and 7,617.50 is: 10,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.30 : 16,300.79 = 7,617.50 : x
  2. Step 2: Convert to fraction form
    11,814.30/16,300.79 = 7,617.50/x
  3. Step 3: Cross multiply
    11,814.30x = 16,300.79 × 7,617.50
  4. Step 4: Simplify right side
    11,814.30x = 124,171,267.83
  5. Step 5: Solve for x
    x = 124,171,267.83/11,814.30
  6. Step 6: Final answer
    x = 10,510.25

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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.