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Finding the Fourth Proportional to 7,570.96, 11,358.40 and 2,376.88

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Solution

The fourth proportional to 7,570.96, 11,358.40 and 2,376.88 is: 3,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.96 : 11,358.40 = 2,376.88 : x
  2. Step 2: Convert to fraction form
    7,570.96/11,358.40 = 2,376.88/x
  3. Step 3: Cross multiply
    7,570.96x = 11,358.40 × 2,376.88
  4. Step 4: Simplify right side
    7,570.96x = 26,997,553.79
  5. Step 5: Solve for x
    x = 26,997,553.79/7,570.96
  6. Step 6: Final answer
    x = 3,565.94

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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.