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Finding the Fourth Proportional to 10,500.95, 14,490.21 and 6,467.12

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Solution

The fourth proportional to 10,500.95, 14,490.21 and 6,467.12 is: 8,923.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.95 : 14,490.21 = 6,467.12 : x
  2. Step 2: Convert to fraction form
    10,500.95/14,490.21 = 6,467.12/x
  3. Step 3: Cross multiply
    10,500.95x = 14,490.21 × 6,467.12
  4. Step 4: Simplify right side
    10,500.95x = 93,709,926.90
  5. Step 5: Solve for x
    x = 93,709,926.90/10,500.95
  6. Step 6: Final answer
    x = 8,923.95

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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.