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Finding the Fourth Proportional to 7,833, 10,810.02 and 4,521

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Solution

The fourth proportional to 7,833, 10,810.02 and 4,521 is: 6,239.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 10,810.02 = 4,521 : x
  2. Step 2: Convert to fraction form
    7,833/10,810.02 = 4,521/x
  3. Step 3: Cross multiply
    7,833x = 10,810.02 × 4,521
  4. Step 4: Simplify right side
    7,833x = 48,872,100.42
  5. Step 5: Solve for x
    x = 48,872,100.42/7,833
  6. Step 6: Final answer
    x = 6,239.26

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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.