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Finding the Fourth Proportional to 7,635.87, 10,534.05 and 4,651.02

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Solution

The fourth proportional to 7,635.87, 10,534.05 and 4,651.02 is: 6,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.87 : 10,534.05 = 4,651.02 : x
  2. Step 2: Convert to fraction form
    7,635.87/10,534.05 = 4,651.02/x
  3. Step 3: Cross multiply
    7,635.87x = 10,534.05 × 4,651.02
  4. Step 4: Simplify right side
    7,635.87x = 48,994,077.23
  5. Step 5: Solve for x
    x = 48,994,077.23/7,635.87
  6. Step 6: Final answer
    x = 6,416.31

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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.