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Finding the Fourth Proportional to 10,669.46, 16,011.34 and 8,038.91

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Solution

The fourth proportional to 10,669.46, 16,011.34 and 8,038.91 is: 12,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.46 : 16,011.34 = 8,038.91 : x
  2. Step 2: Convert to fraction form
    10,669.46/16,011.34 = 8,038.91/x
  3. Step 3: Cross multiply
    10,669.46x = 16,011.34 × 8,038.91
  4. Step 4: Simplify right side
    10,669.46x = 128,713,741.17
  5. Step 5: Solve for x
    x = 128,713,741.17/10,669.46
  6. Step 6: Final answer
    x = 12,063.76

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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.