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Finding the Fourth Proportional to 7,655.34, 11,475.72 and 3,704.16

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Solution

The fourth proportional to 7,655.34, 11,475.72 and 3,704.16 is: 5,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.34 : 11,475.72 = 3,704.16 : x
  2. Step 2: Convert to fraction form
    7,655.34/11,475.72 = 3,704.16/x
  3. Step 3: Cross multiply
    7,655.34x = 11,475.72 × 3,704.16
  4. Step 4: Simplify right side
    7,655.34x = 42,507,903.00
  5. Step 5: Solve for x
    x = 42,507,903.00/7,655.34
  6. Step 6: Final answer
    x = 5,552.71

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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.