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Finding the Fourth Proportional to 10,964.30, 16,446.45 and 7,465.10

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Solution

The fourth proportional to 10,964.30, 16,446.45 and 7,465.10 is: 11,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.30 : 16,446.45 = 7,465.10 : x
  2. Step 2: Convert to fraction form
    10,964.30/16,446.45 = 7,465.10/x
  3. Step 3: Cross multiply
    10,964.30x = 16,446.45 × 7,465.10
  4. Step 4: Simplify right side
    10,964.30x = 122,774,393.90
  5. Step 5: Solve for x
    x = 122,774,393.90/10,964.30
  6. Step 6: Final answer
    x = 11,197.65

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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.