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Finding the Fourth Proportional to 7,590.65, 10,463.66 and 5,909.09

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Solution

The fourth proportional to 7,590.65, 10,463.66 and 5,909.09 is: 8,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.65 : 10,463.66 = 5,909.09 : x
  2. Step 2: Convert to fraction form
    7,590.65/10,463.66 = 5,909.09/x
  3. Step 3: Cross multiply
    7,590.65x = 10,463.66 × 5,909.09
  4. Step 4: Simplify right side
    7,590.65x = 61,830,626.81
  5. Step 5: Solve for x
    x = 61,830,626.81/7,590.65
  6. Step 6: Final answer
    x = 8,145.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.