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Finding the Fourth Proportional to 10,762.41, 16,113.52 and 5,814.33

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Solution

The fourth proportional to 10,762.41, 16,113.52 and 5,814.33 is: 8,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.41 : 16,113.52 = 5,814.33 : x
  2. Step 2: Convert to fraction form
    10,762.41/16,113.52 = 5,814.33/x
  3. Step 3: Cross multiply
    10,762.41x = 16,113.52 × 5,814.33
  4. Step 4: Simplify right side
    10,762.41x = 93,689,322.74
  5. Step 5: Solve for x
    x = 93,689,322.74/10,762.41
  6. Step 6: Final answer
    x = 8,705.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.