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Finding the Fourth Proportional to 7,670.42, 11,507.72 and 2,740.56

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Solution

The fourth proportional to 7,670.42, 11,507.72 and 2,740.56 is: 4,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.42 : 11,507.72 = 2,740.56 : x
  2. Step 2: Convert to fraction form
    7,670.42/11,507.72 = 2,740.56/x
  3. Step 3: Cross multiply
    7,670.42x = 11,507.72 × 2,740.56
  4. Step 4: Simplify right side
    7,670.42x = 31,537,597.12
  5. Step 5: Solve for x
    x = 31,537,597.12/7,670.42
  6. Step 6: Final answer
    x = 4,111.59

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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.