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Finding the Fourth Proportional to 7,416.90, 10,235.22 and 4,059.69

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Solution

The fourth proportional to 7,416.90, 10,235.22 and 4,059.69 is: 5,602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.90 : 10,235.22 = 4,059.69 : x
  2. Step 2: Convert to fraction form
    7,416.90/10,235.22 = 4,059.69/x
  3. Step 3: Cross multiply
    7,416.90x = 10,235.22 × 4,059.69
  4. Step 4: Simplify right side
    7,416.90x = 41,551,820.28
  5. Step 5: Solve for x
    x = 41,551,820.28/7,416.90
  6. Step 6: Final answer
    x = 5,602.32

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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.