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Finding the Fourth Proportional to 7,597.46, 11,400.14 and 5,748.02

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Solution

The fourth proportional to 7,597.46, 11,400.14 and 5,748.02 is: 8,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,597.46 : 11,400.14 = 5,748.02 : x
  2. Step 2: Convert to fraction form
    7,597.46/11,400.14 = 5,748.02/x
  3. Step 3: Cross multiply
    7,597.46x = 11,400.14 × 5,748.02
  4. Step 4: Simplify right side
    7,597.46x = 65,528,232.72
  5. Step 5: Solve for x
    x = 65,528,232.72/7,597.46
  6. Step 6: Final answer
    x = 8,625.02

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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.