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Finding the Fourth Proportional to 8,814.50, 12,164.02 and 5,088.50

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Solution

The fourth proportional to 8,814.50, 12,164.02 and 5,088.50 is: 7,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.50 : 12,164.02 = 5,088.50 : x
  2. Step 2: Convert to fraction form
    8,814.50/12,164.02 = 5,088.50/x
  3. Step 3: Cross multiply
    8,814.50x = 12,164.02 × 5,088.50
  4. Step 4: Simplify right side
    8,814.50x = 61,896,615.77
  5. Step 5: Solve for x
    x = 61,896,615.77/8,814.50
  6. Step 6: Final answer
    x = 7,022.14

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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.