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Finding the Fourth Proportional to 11,246.12, 15,529.64 and 7,004.46

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Solution

The fourth proportional to 11,246.12, 15,529.64 and 7,004.46 is: 9,672.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.12 : 15,529.64 = 7,004.46 : x
  2. Step 2: Convert to fraction form
    11,246.12/15,529.64 = 7,004.46/x
  3. Step 3: Cross multiply
    11,246.12x = 15,529.64 × 7,004.46
  4. Step 4: Simplify right side
    11,246.12x = 108,776,742.19
  5. Step 5: Solve for x
    x = 108,776,742.19/11,246.12
  6. Step 6: Final answer
    x = 9,672.38

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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.