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Finding the Fourth Proportional to 10,401.12, 15,611.40 and 7,465.68

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Solution

The fourth proportional to 10,401.12, 15,611.40 and 7,465.68 is: 11,205.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.12 : 15,611.40 = 7,465.68 : x
  2. Step 2: Convert to fraction form
    10,401.12/15,611.40 = 7,465.68/x
  3. Step 3: Cross multiply
    10,401.12x = 15,611.40 × 7,465.68
  4. Step 4: Simplify right side
    10,401.12x = 116,549,716.75
  5. Step 5: Solve for x
    x = 116,549,716.75/10,401.12
  6. Step 6: Final answer
    x = 11,205.50

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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.