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Finding the Fourth Proportional to 7,670.45, 11,499.42 and 2,402.75

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Solution

The fourth proportional to 7,670.45, 11,499.42 and 2,402.75 is: 3,602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.45 : 11,499.42 = 2,402.75 : x
  2. Step 2: Convert to fraction form
    7,670.45/11,499.42 = 2,402.75/x
  3. Step 3: Cross multiply
    7,670.45x = 11,499.42 × 2,402.75
  4. Step 4: Simplify right side
    7,670.45x = 27,630,173.91
  5. Step 5: Solve for x
    x = 27,630,173.91/7,670.45
  6. Step 6: Final answer
    x = 3,602.16

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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.