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Finding the Fourth Proportional to 10,415.45, 15,624.47 and 3,396.17

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Solution

The fourth proportional to 10,415.45, 15,624.47 and 3,396.17 is: 5,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.45 : 15,624.47 = 3,396.17 : x
  2. Step 2: Convert to fraction form
    10,415.45/15,624.47 = 3,396.17/x
  3. Step 3: Cross multiply
    10,415.45x = 15,624.47 × 3,396.17
  4. Step 4: Simplify right side
    10,415.45x = 53,063,300.24
  5. Step 5: Solve for x
    x = 53,063,300.24/10,415.45
  6. Step 6: Final answer
    x = 5,094.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.