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Finding the Fourth Proportional to 7,396.66, 10,207.37 and 4,416.50

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Solution

The fourth proportional to 7,396.66, 10,207.37 and 4,416.50 is: 6,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,396.66 : 10,207.37 = 4,416.50 : x
  2. Step 2: Convert to fraction form
    7,396.66/10,207.37 = 4,416.50/x
  3. Step 3: Cross multiply
    7,396.66x = 10,207.37 × 4,416.50
  4. Step 4: Simplify right side
    7,396.66x = 45,080,886.16
  5. Step 5: Solve for x
    x = 45,080,886.16/7,396.66
  6. Step 6: Final answer
    x = 6,094.76

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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.