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Finding the Fourth Proportional to 7,354.80, 10,145.85 and 4,699.44

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Solution

The fourth proportional to 7,354.80, 10,145.85 and 4,699.44 is: 6,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.80 : 10,145.85 = 4,699.44 : x
  2. Step 2: Convert to fraction form
    7,354.80/10,145.85 = 4,699.44/x
  3. Step 3: Cross multiply
    7,354.80x = 10,145.85 × 4,699.44
  4. Step 4: Simplify right side
    7,354.80x = 47,679,813.32
  5. Step 5: Solve for x
    x = 47,679,813.32/7,354.80
  6. Step 6: Final answer
    x = 6,482.82

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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.