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Finding the Fourth Proportional to 7,801.30, 11,701.95 and 4,684.83

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Solution

The fourth proportional to 7,801.30, 11,701.95 and 4,684.83 is: 7,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.30 : 11,701.95 = 4,684.83 : x
  2. Step 2: Convert to fraction form
    7,801.30/11,701.95 = 4,684.83/x
  3. Step 3: Cross multiply
    7,801.30x = 11,701.95 × 4,684.83
  4. Step 4: Simplify right side
    7,801.30x = 54,821,646.42
  5. Step 5: Solve for x
    x = 54,821,646.42/7,801.30
  6. Step 6: Final answer
    x = 7,027.25

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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.