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Finding the Fourth Proportional to 12,964, 17,890.32 and 7,076

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Solution

The fourth proportional to 12,964, 17,890.32 and 7,076 is: 9,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 17,890.32 = 7,076 : x
  2. Step 2: Convert to fraction form
    12,964/17,890.32 = 7,076/x
  3. Step 3: Cross multiply
    12,964x = 17,890.32 × 7,076
  4. Step 4: Simplify right side
    12,964x = 126,591,904.32
  5. Step 5: Solve for x
    x = 126,591,904.32/12,964
  6. Step 6: Final answer
    x = 9,764.88

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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.