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Finding the Fourth Proportional to 7,400.68, 10,212.90 and 4,416.64

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Solution

The fourth proportional to 7,400.68, 10,212.90 and 4,416.64 is: 6,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.68 : 10,212.90 = 4,416.64 : x
  2. Step 2: Convert to fraction form
    7,400.68/10,212.90 = 4,416.64/x
  3. Step 3: Cross multiply
    7,400.68x = 10,212.90 × 4,416.64
  4. Step 4: Simplify right side
    7,400.68x = 45,106,702.66
  5. Step 5: Solve for x
    x = 45,106,702.66/7,400.68
  6. Step 6: Final answer
    x = 6,094.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.