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Finding the Fourth Proportional to 7,153.69, 9,872.70 and 4,010.49

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Solution

The fourth proportional to 7,153.69, 9,872.70 and 4,010.49 is: 5,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.69 : 9,872.70 = 4,010.49 : x
  2. Step 2: Convert to fraction form
    7,153.69/9,872.70 = 4,010.49/x
  3. Step 3: Cross multiply
    7,153.69x = 9,872.70 × 4,010.49
  4. Step 4: Simplify right side
    7,153.69x = 39,594,364.62
  5. Step 5: Solve for x
    x = 39,594,364.62/7,153.69
  6. Step 6: Final answer
    x = 5,534.82

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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.