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Finding the Fourth Proportional to 10,502.63, 14,494.20 and 6,026.35

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Solution

The fourth proportional to 10,502.63, 14,494.20 and 6,026.35 is: 8,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.63 : 14,494.20 = 6,026.35 : x
  2. Step 2: Convert to fraction form
    10,502.63/14,494.20 = 6,026.35/x
  3. Step 3: Cross multiply
    10,502.63x = 14,494.20 × 6,026.35
  4. Step 4: Simplify right side
    10,502.63x = 87,347,122.17
  5. Step 5: Solve for x
    x = 87,347,122.17/10,502.63
  6. Step 6: Final answer
    x = 8,316.69

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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.