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Finding the Fourth Proportional to 10,438.46, 15,653.07 and 7,504.50

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Solution

The fourth proportional to 10,438.46, 15,653.07 and 7,504.50 is: 11,253.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.46 : 15,653.07 = 7,504.50 : x
  2. Step 2: Convert to fraction form
    10,438.46/15,653.07 = 7,504.50/x
  3. Step 3: Cross multiply
    10,438.46x = 15,653.07 × 7,504.50
  4. Step 4: Simplify right side
    10,438.46x = 117,468,463.82
  5. Step 5: Solve for x
    x = 117,468,463.82/10,438.46
  6. Step 6: Final answer
    x = 11,253.43

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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.