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Finding the Fourth Proportional to 8,020, 11,068.88 and 5,815.84

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Solution

The fourth proportional to 8,020, 11,068.88 and 5,815.84 is: 8,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020 : 11,068.88 = 5,815.84 : x
  2. Step 2: Convert to fraction form
    8,020/11,068.88 = 5,815.84/x
  3. Step 3: Cross multiply
    8,020x = 11,068.88 × 5,815.84
  4. Step 4: Simplify right side
    8,020x = 64,374,835.06
  5. Step 5: Solve for x
    x = 64,374,835.06/8,020
  6. Step 6: Final answer
    x = 8,026.79

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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.