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Finding the Fourth Proportional to 10,359.32, 15,519.80 and 8,011

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Solution

The fourth proportional to 10,359.32, 15,519.80 and 8,011 is: 12,001.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.32 : 15,519.80 = 8,011 : x
  2. Step 2: Convert to fraction form
    10,359.32/15,519.80 = 8,011/x
  3. Step 3: Cross multiply
    10,359.32x = 15,519.80 × 8,011
  4. Step 4: Simplify right side
    10,359.32x = 124,329,117.80
  5. Step 5: Solve for x
    x = 124,329,117.80/10,359.32
  6. Step 6: Final answer
    x = 12,001.67

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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.