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Finding the Fourth Proportional to 10,847.36, 14,964 and 7,493.60

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Solution

The fourth proportional to 10,847.36, 14,964 and 7,493.60 is: 10,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.36 : 14,964 = 7,493.60 : x
  2. Step 2: Convert to fraction form
    10,847.36/14,964 = 7,493.60/x
  3. Step 3: Cross multiply
    10,847.36x = 14,964 × 7,493.60
  4. Step 4: Simplify right side
    10,847.36x = 112,134,230.40
  5. Step 5: Solve for x
    x = 112,134,230.40/10,847.36
  6. Step 6: Final answer
    x = 10,337.47

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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.