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Finding the Fourth Proportional to 7,597.64, 11,381.88 and 4,471.04

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Solution

The fourth proportional to 7,597.64, 11,381.88 and 4,471.04 is: 6,697.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.64 : 11,381.88 = 4,471.04 : x
  2. Step 2: Convert to fraction form
    7,597.64/11,381.88 = 4,471.04/x
  3. Step 3: Cross multiply
    7,597.64x = 11,381.88 × 4,471.04
  4. Step 4: Simplify right side
    7,597.64x = 50,888,840.76
  5. Step 5: Solve for x
    x = 50,888,840.76/7,597.64
  6. Step 6: Final answer
    x = 6,697.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.