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Finding the Fourth Proportional to 8,147.16, 12,222.54 and 2,952.90

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Solution

The fourth proportional to 8,147.16, 12,222.54 and 2,952.90 is: 4,430.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.16 : 12,222.54 = 2,952.90 : x
  2. Step 2: Convert to fraction form
    8,147.16/12,222.54 = 2,952.90/x
  3. Step 3: Cross multiply
    8,147.16x = 12,222.54 × 2,952.90
  4. Step 4: Simplify right side
    8,147.16x = 36,091,938.37
  5. Step 5: Solve for x
    x = 36,091,938.37/8,147.16
  6. Step 6: Final answer
    x = 4,430.00

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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.