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Finding the Fourth Proportional to 8,884.64, 12,244.56 and 5,895.20

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Solution

The fourth proportional to 8,884.64, 12,244.56 and 5,895.20 is: 8,124.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.64 : 12,244.56 = 5,895.20 : x
  2. Step 2: Convert to fraction form
    8,884.64/12,244.56 = 5,895.20/x
  3. Step 3: Cross multiply
    8,884.64x = 12,244.56 × 5,895.20
  4. Step 4: Simplify right side
    8,884.64x = 72,184,130.11
  5. Step 5: Solve for x
    x = 72,184,130.11/8,884.64
  6. Step 6: Final answer
    x = 8,124.60

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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.