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Finding the Fourth Proportional to 10,710.92, 16,038.43 and 8,619.50

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Solution

The fourth proportional to 10,710.92, 16,038.43 and 8,619.50 is: 12,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.92 : 16,038.43 = 8,619.50 : x
  2. Step 2: Convert to fraction form
    10,710.92/16,038.43 = 8,619.50/x
  3. Step 3: Cross multiply
    10,710.92x = 16,038.43 × 8,619.50
  4. Step 4: Simplify right side
    10,710.92x = 138,243,145.64
  5. Step 5: Solve for x
    x = 138,243,145.64/10,710.92
  6. Step 6: Final answer
    x = 12,906.75

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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.