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Finding the Fourth Proportional to 10,462.41, 14,449.46 and 6,492.99

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Solution

The fourth proportional to 10,462.41, 14,449.46 and 6,492.99 is: 8,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.41 : 14,449.46 = 6,492.99 : x
  2. Step 2: Convert to fraction form
    10,462.41/14,449.46 = 6,492.99/x
  3. Step 3: Cross multiply
    10,462.41x = 14,449.46 × 6,492.99
  4. Step 4: Simplify right side
    10,462.41x = 93,820,166.82
  5. Step 5: Solve for x
    x = 93,820,166.82/10,462.41
  6. Step 6: Final answer
    x = 8,967.36

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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.