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Finding the Fourth Proportional to 7,570.65, 11,354.22 and 2,888.96

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Solution

The fourth proportional to 7,570.65, 11,354.22 and 2,888.96 is: 4,332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.65 : 11,354.22 = 2,888.96 : x
  2. Step 2: Convert to fraction form
    7,570.65/11,354.22 = 2,888.96/x
  3. Step 3: Cross multiply
    7,570.65x = 11,354.22 × 2,888.96
  4. Step 4: Simplify right side
    7,570.65x = 32,801,830.64
  5. Step 5: Solve for x
    x = 32,801,830.64/7,570.65
  6. Step 6: Final answer
    x = 4,332.76

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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.