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Finding the Fourth Proportional to 10,476.86, 14,461.13 and 6,230.91

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Solution

The fourth proportional to 10,476.86, 14,461.13 and 6,230.91 is: 8,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.86 : 14,461.13 = 6,230.91 : x
  2. Step 2: Convert to fraction form
    10,476.86/14,461.13 = 6,230.91/x
  3. Step 3: Cross multiply
    10,476.86x = 14,461.13 × 6,230.91
  4. Step 4: Simplify right side
    10,476.86x = 90,105,999.53
  5. Step 5: Solve for x
    x = 90,105,999.53/10,476.86
  6. Step 6: Final answer
    x = 8,600.48

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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.