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Finding the Fourth Proportional to 7,107.35, 9,809.91 and 4,592.30

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Solution

The fourth proportional to 7,107.35, 9,809.91 and 4,592.30 is: 6,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.35 : 9,809.91 = 4,592.30 : x
  2. Step 2: Convert to fraction form
    7,107.35/9,809.91 = 4,592.30/x
  3. Step 3: Cross multiply
    7,107.35x = 9,809.91 × 4,592.30
  4. Step 4: Simplify right side
    7,107.35x = 45,050,000.64
  5. Step 5: Solve for x
    x = 45,050,000.64/7,107.35
  6. Step 6: Final answer
    x = 6,338.51

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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.