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Finding the Fourth Proportional to 10,322, 15,484.92 and 4,850

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Solution

The fourth proportional to 10,322, 15,484.92 and 4,850 is: 7,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322 : 15,484.92 = 4,850 : x
  2. Step 2: Convert to fraction form
    10,322/15,484.92 = 4,850/x
  3. Step 3: Cross multiply
    10,322x = 15,484.92 × 4,850
  4. Step 4: Simplify right side
    10,322x = 75,101,862
  5. Step 5: Solve for x
    x = 75,101,862/10,322
  6. Step 6: Final answer
    x = 7,275.90

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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.