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Finding the Fourth Proportional to 10,440.46, 15,656.07 and 7,506.50

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Solution

The fourth proportional to 10,440.46, 15,656.07 and 7,506.50 is: 11,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.46 : 15,656.07 = 7,506.50 : x
  2. Step 2: Convert to fraction form
    10,440.46/15,656.07 = 7,506.50/x
  3. Step 3: Cross multiply
    10,440.46x = 15,656.07 × 7,506.50
  4. Step 4: Simplify right side
    10,440.46x = 117,522,289.46
  5. Step 5: Solve for x
    x = 117,522,289.46/10,440.46
  6. Step 6: Final answer
    x = 11,256.43

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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.