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Finding the Fourth Proportional to 6,953.76, 10,430.64 and 4,212

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Solution

The fourth proportional to 6,953.76, 10,430.64 and 4,212 is: 6,318

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.76 : 10,430.64 = 4,212 : x
  2. Step 2: Convert to fraction form
    6,953.76/10,430.64 = 4,212/x
  3. Step 3: Cross multiply
    6,953.76x = 10,430.64 × 4,212
  4. Step 4: Simplify right side
    6,953.76x = 43,933,855.68
  5. Step 5: Solve for x
    x = 43,933,855.68/6,953.76
  6. Step 6: Final answer
    x = 6,318

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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.