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Finding the Fourth Proportional to 7,032.74, 10,550.16 and 2,590.06

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Solution

The fourth proportional to 7,032.74, 10,550.16 and 2,590.06 is: 3,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.74 : 10,550.16 = 2,590.06 : x
  2. Step 2: Convert to fraction form
    7,032.74/10,550.16 = 2,590.06/x
  3. Step 3: Cross multiply
    7,032.74x = 10,550.16 × 2,590.06
  4. Step 4: Simplify right side
    7,032.74x = 27,325,585.35
  5. Step 5: Solve for x
    x = 27,325,585.35/7,032.74
  6. Step 6: Final answer
    x = 3,885.48

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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.