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Finding the Fourth Proportional to 8,814.16, 12,130.50 and 8,106.22

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Solution

The fourth proportional to 8,814.16, 12,130.50 and 8,106.22 is: 11,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.16 : 12,130.50 = 8,106.22 : x
  2. Step 2: Convert to fraction form
    8,814.16/12,130.50 = 8,106.22/x
  3. Step 3: Cross multiply
    8,814.16x = 12,130.50 × 8,106.22
  4. Step 4: Simplify right side
    8,814.16x = 98,332,501.71
  5. Step 5: Solve for x
    x = 98,332,501.71/8,814.16
  6. Step 6: Final answer
    x = 11,156.20

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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.