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Finding the Fourth Proportional to 10,964.90, 16,447.35 and 9,712.10

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Solution

The fourth proportional to 10,964.90, 16,447.35 and 9,712.10 is: 14,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.90 : 16,447.35 = 9,712.10 : x
  2. Step 2: Convert to fraction form
    10,964.90/16,447.35 = 9,712.10/x
  3. Step 3: Cross multiply
    10,964.90x = 16,447.35 × 9,712.10
  4. Step 4: Simplify right side
    10,964.90x = 159,738,307.94
  5. Step 5: Solve for x
    x = 159,738,307.94/10,964.90
  6. Step 6: Final answer
    x = 14,568.15

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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.