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Finding the Fourth Proportional to 7,598.42, 10,485.90 and 4,454.66

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Solution

The fourth proportional to 7,598.42, 10,485.90 and 4,454.66 is: 6,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.42 : 10,485.90 = 4,454.66 : x
  2. Step 2: Convert to fraction form
    7,598.42/10,485.90 = 4,454.66/x
  3. Step 3: Cross multiply
    7,598.42x = 10,485.90 × 4,454.66
  4. Step 4: Simplify right side
    7,598.42x = 46,711,119.29
  5. Step 5: Solve for x
    x = 46,711,119.29/7,598.42
  6. Step 6: Final answer
    x = 6,147.48

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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.