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Finding the Fourth Proportional to 8,026.80, 11,071.80 and 4,838.64

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Solution

The fourth proportional to 8,026.80, 11,071.80 and 4,838.64 is: 6,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.80 : 11,071.80 = 4,838.64 : x
  2. Step 2: Convert to fraction form
    8,026.80/11,071.80 = 4,838.64/x
  3. Step 3: Cross multiply
    8,026.80x = 11,071.80 × 4,838.64
  4. Step 4: Simplify right side
    8,026.80x = 53,572,454.35
  5. Step 5: Solve for x
    x = 53,572,454.35/8,026.80
  6. Step 6: Final answer
    x = 6,674.20

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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.