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Finding the Fourth Proportional to 10,762.16, 16,113.16 and 5,814.07

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Solution

The fourth proportional to 10,762.16, 16,113.16 and 5,814.07 is: 8,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.16 : 16,113.16 = 5,814.07 : x
  2. Step 2: Convert to fraction form
    10,762.16/16,113.16 = 5,814.07/x
  3. Step 3: Cross multiply
    10,762.16x = 16,113.16 × 5,814.07
  4. Step 4: Simplify right side
    10,762.16x = 93,683,007.15
  5. Step 5: Solve for x
    x = 93,683,007.15/10,762.16
  6. Step 6: Final answer
    x = 8,704.86

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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.