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Finding the Fourth Proportional to 11,475.69, 15,832.38 and 7,499.10

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Solution

The fourth proportional to 11,475.69, 15,832.38 and 7,499.10 is: 10,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,475.69 : 15,832.38 = 7,499.10 : x
  2. Step 2: Convert to fraction form
    11,475.69/15,832.38 = 7,499.10/x
  3. Step 3: Cross multiply
    11,475.69x = 15,832.38 × 7,499.10
  4. Step 4: Simplify right side
    11,475.69x = 118,728,688.35
  5. Step 5: Solve for x
    x = 118,728,688.35/11,475.69
  6. Step 6: Final answer
    x = 10,346.11

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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.