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Finding the Fourth Proportional to 10,726.98, 14,804.04 and 6,012.78

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Solution

The fourth proportional to 10,726.98, 14,804.04 and 6,012.78 is: 8,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.98 : 14,804.04 = 6,012.78 : x
  2. Step 2: Convert to fraction form
    10,726.98/14,804.04 = 6,012.78/x
  3. Step 3: Cross multiply
    10,726.98x = 14,804.04 × 6,012.78
  4. Step 4: Simplify right side
    10,726.98x = 89,013,435.63
  5. Step 5: Solve for x
    x = 89,013,435.63/10,726.98
  6. Step 6: Final answer
    x = 8,298.09

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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.