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Finding the Fourth Proportional to 7,061.76, 10,590.62 and 2,845

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Solution

The fourth proportional to 7,061.76, 10,590.62 and 2,845 is: 4,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.76 : 10,590.62 = 2,845 : x
  2. Step 2: Convert to fraction form
    7,061.76/10,590.62 = 2,845/x
  3. Step 3: Cross multiply
    7,061.76x = 10,590.62 × 2,845
  4. Step 4: Simplify right side
    7,061.76x = 30,130,313.90
  5. Step 5: Solve for x
    x = 30,130,313.90/7,061.76
  6. Step 6: Final answer
    x = 4,266.69

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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.