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Finding the Fourth Proportional to 11,266.50, 16,875.13 and 5,710.31

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Solution

The fourth proportional to 11,266.50, 16,875.13 and 5,710.31 is: 8,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.50 : 16,875.13 = 5,710.31 : x
  2. Step 2: Convert to fraction form
    11,266.50/16,875.13 = 5,710.31/x
  3. Step 3: Cross multiply
    11,266.50x = 16,875.13 × 5,710.31
  4. Step 4: Simplify right side
    11,266.50x = 96,362,223.59
  5. Step 5: Solve for x
    x = 96,362,223.59/11,266.50
  6. Step 6: Final answer
    x = 8,552.99

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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.