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Finding the Fourth Proportional to 7,154.57, 9,874.21 and 4,010.75

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Solution

The fourth proportional to 7,154.57, 9,874.21 and 4,010.75 is: 5,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.57 : 9,874.21 = 4,010.75 : x
  2. Step 2: Convert to fraction form
    7,154.57/9,874.21 = 4,010.75/x
  3. Step 3: Cross multiply
    7,154.57x = 9,874.21 × 4,010.75
  4. Step 4: Simplify right side
    7,154.57x = 39,602,987.76
  5. Step 5: Solve for x
    x = 39,602,987.76/7,154.57
  6. Step 6: Final answer
    x = 5,535.35

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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.