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Finding the Fourth Proportional to 7,590.51, 11,386.98 and 3,209.22

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Solution

The fourth proportional to 7,590.51, 11,386.98 and 3,209.22 is: 4,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.51 : 11,386.98 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    7,590.51/11,386.98 = 3,209.22/x
  3. Step 3: Cross multiply
    7,590.51x = 11,386.98 × 3,209.22
  4. Step 4: Simplify right side
    7,590.51x = 36,543,323.96
  5. Step 5: Solve for x
    x = 36,543,323.96/7,590.51
  6. Step 6: Final answer
    x = 4,814.34

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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.