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Finding the Fourth Proportional to 10,496.76, 14,484.46 and 6,462.95

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Solution

The fourth proportional to 10,496.76, 14,484.46 and 6,462.95 is: 8,918.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.76 : 14,484.46 = 6,462.95 : x
  2. Step 2: Convert to fraction form
    10,496.76/14,484.46 = 6,462.95/x
  3. Step 3: Cross multiply
    10,496.76x = 14,484.46 × 6,462.95
  4. Step 4: Simplify right side
    10,496.76x = 93,612,314.57
  5. Step 5: Solve for x
    x = 93,612,314.57/10,496.76
  6. Step 6: Final answer
    x = 8,918.21

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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.