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Finding the Fourth Proportional to 7,953.09, 10,975.20 and 4,416.30

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Solution

The fourth proportional to 7,953.09, 10,975.20 and 4,416.30 is: 6,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.09 : 10,975.20 = 4,416.30 : x
  2. Step 2: Convert to fraction form
    7,953.09/10,975.20 = 4,416.30/x
  3. Step 3: Cross multiply
    7,953.09x = 10,975.20 × 4,416.30
  4. Step 4: Simplify right side
    7,953.09x = 48,469,775.76
  5. Step 5: Solve for x
    x = 48,469,775.76/7,953.09
  6. Step 6: Final answer
    x = 6,094.46

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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.