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Finding the Fourth Proportional to 7,884.64, 11,818.95 and 5,113.06

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Solution

The fourth proportional to 7,884.64, 11,818.95 and 5,113.06 is: 7,664.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.64 : 11,818.95 = 5,113.06 : x
  2. Step 2: Convert to fraction form
    7,884.64/11,818.95 = 5,113.06/x
  3. Step 3: Cross multiply
    7,884.64x = 11,818.95 × 5,113.06
  4. Step 4: Simplify right side
    7,884.64x = 60,431,000.49
  5. Step 5: Solve for x
    x = 60,431,000.49/7,884.64
  6. Step 6: Final answer
    x = 7,664.40

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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.