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Finding the Fourth Proportional to 11,038.05, 15,234.28 and 6,501.47

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Solution

The fourth proportional to 11,038.05, 15,234.28 and 6,501.47 is: 8,973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.05 : 15,234.28 = 6,501.47 : x
  2. Step 2: Convert to fraction form
    11,038.05/15,234.28 = 6,501.47/x
  3. Step 3: Cross multiply
    11,038.05x = 15,234.28 × 6,501.47
  4. Step 4: Simplify right side
    11,038.05x = 99,045,121.97
  5. Step 5: Solve for x
    x = 99,045,121.97/11,038.05
  6. Step 6: Final answer
    x = 8,973.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.