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Finding the Fourth Proportional to 8,000.64, 11,041.74 and 4,465.08

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Solution

The fourth proportional to 8,000.64, 11,041.74 and 4,465.08 is: 6,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.64 : 11,041.74 = 4,465.08 : x
  2. Step 2: Convert to fraction form
    8,000.64/11,041.74 = 4,465.08/x
  3. Step 3: Cross multiply
    8,000.64x = 11,041.74 × 4,465.08
  4. Step 4: Simplify right side
    8,000.64x = 49,302,252.44
  5. Step 5: Solve for x
    x = 49,302,252.44/8,000.64
  6. Step 6: Final answer
    x = 6,162.29

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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.