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Finding the Fourth Proportional to 5,063.77, 6,999.06 and 4,461.66

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Solution

The fourth proportional to 5,063.77, 6,999.06 and 4,461.66 is: 6,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.77 : 6,999.06 = 4,461.66 : x
  2. Step 2: Convert to fraction form
    5,063.77/6,999.06 = 4,461.66/x
  3. Step 3: Cross multiply
    5,063.77x = 6,999.06 × 4,461.66
  4. Step 4: Simplify right side
    5,063.77x = 31,227,397.99
  5. Step 5: Solve for x
    x = 31,227,397.99/5,063.77
  6. Step 6: Final answer
    x = 6,166.83

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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.