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Finding the Fourth Proportional to 7,153.81, 9,872.23 and 4,010.00

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Solution

The fourth proportional to 7,153.81, 9,872.23 and 4,010.00 is: 5,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.81 : 9,872.23 = 4,010.00 : x
  2. Step 2: Convert to fraction form
    7,153.81/9,872.23 = 4,010.00/x
  3. Step 3: Cross multiply
    7,153.81x = 9,872.23 × 4,010.00
  4. Step 4: Simplify right side
    7,153.81x = 39,587,585.23
  5. Step 5: Solve for x
    x = 39,587,585.23/7,153.81
  6. Step 6: Final answer
    x = 5,533.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.