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Finding the Fourth Proportional to 10,200.66, 14,085.21 and 8,312.52

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Solution

The fourth proportional to 10,200.66, 14,085.21 and 8,312.52 is: 11,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.66 : 14,085.21 = 8,312.52 : x
  2. Step 2: Convert to fraction form
    10,200.66/14,085.21 = 8,312.52/x
  3. Step 3: Cross multiply
    10,200.66x = 14,085.21 × 8,312.52
  4. Step 4: Simplify right side
    10,200.66x = 117,083,589.83
  5. Step 5: Solve for x
    x = 117,083,589.83/10,200.66
  6. Step 6: Final answer
    x = 11,478.04

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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.