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Finding the Fourth Proportional to 10,490.47, 14,476.89 and 6,014.32

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Solution

The fourth proportional to 10,490.47, 14,476.89 and 6,014.32 is: 8,299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.47 : 14,476.89 = 6,014.32 : x
  2. Step 2: Convert to fraction form
    10,490.47/14,476.89 = 6,014.32/x
  3. Step 3: Cross multiply
    10,490.47x = 14,476.89 × 6,014.32
  4. Step 4: Simplify right side
    10,490.47x = 87,068,649.06
  5. Step 5: Solve for x
    x = 87,068,649.06/10,490.47
  6. Step 6: Final answer
    x = 8,299.79

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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.