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Finding the Fourth Proportional to 7,597.98, 10,485.90 and 4,614.57

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Solution

The fourth proportional to 7,597.98, 10,485.90 and 4,614.57 is: 6,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.98 : 10,485.90 = 4,614.57 : x
  2. Step 2: Convert to fraction form
    7,597.98/10,485.90 = 4,614.57/x
  3. Step 3: Cross multiply
    7,597.98x = 10,485.90 × 4,614.57
  4. Step 4: Simplify right side
    7,597.98x = 48,387,919.56
  5. Step 5: Solve for x
    x = 48,387,919.56/7,597.98
  6. Step 6: Final answer
    x = 6,368.52

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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.