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Finding the Fourth Proportional to 10,741.95, 14,823.95 and 6,026.27

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Solution

The fourth proportional to 10,741.95, 14,823.95 and 6,026.27 is: 8,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,741.95 : 14,823.95 = 6,026.27 : x
  2. Step 2: Convert to fraction form
    10,741.95/14,823.95 = 6,026.27/x
  3. Step 3: Cross multiply
    10,741.95x = 14,823.95 × 6,026.27
  4. Step 4: Simplify right side
    10,741.95x = 89,333,020.92
  5. Step 5: Solve for x
    x = 89,333,020.92/10,741.95
  6. Step 6: Final answer
    x = 8,316.28

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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.