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Finding the Fourth Proportional to 7,634.58, 10,535.43 and 4,490.70

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Solution

The fourth proportional to 7,634.58, 10,535.43 and 4,490.70 is: 6,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.58 : 10,535.43 = 4,490.70 : x
  2. Step 2: Convert to fraction form
    7,634.58/10,535.43 = 4,490.70/x
  3. Step 3: Cross multiply
    7,634.58x = 10,535.43 × 4,490.70
  4. Step 4: Simplify right side
    7,634.58x = 47,311,455.50
  5. Step 5: Solve for x
    x = 47,311,455.50/7,634.58
  6. Step 6: Final answer
    x = 6,197.00

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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.