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Finding the Fourth Proportional to 10,784.72, 14,865 and 7,421.84

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Solution

The fourth proportional to 10,784.72, 14,865 and 7,421.84 is: 10,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.72 : 14,865 = 7,421.84 : x
  2. Step 2: Convert to fraction form
    10,784.72/14,865 = 7,421.84/x
  3. Step 3: Cross multiply
    10,784.72x = 14,865 × 7,421.84
  4. Step 4: Simplify right side
    10,784.72x = 110,325,651.60
  5. Step 5: Solve for x
    x = 110,325,651.60/10,784.72
  6. Step 6: Final answer
    x = 10,229.81

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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.