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Finding the Fourth Proportional to 10,706.16, 16,038.45 and 7,889.88

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Solution

The fourth proportional to 10,706.16, 16,038.45 and 7,889.88 is: 11,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.16 : 16,038.45 = 7,889.88 : x
  2. Step 2: Convert to fraction form
    10,706.16/16,038.45 = 7,889.88/x
  3. Step 3: Cross multiply
    10,706.16x = 16,038.45 × 7,889.88
  4. Step 4: Simplify right side
    10,706.16x = 126,541,445.89
  5. Step 5: Solve for x
    x = 126,541,445.89/10,706.16
  6. Step 6: Final answer
    x = 11,819.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.