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Finding the Fourth Proportional to 7,830.38, 10,810.59 and 5,180.06

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Solution

The fourth proportional to 7,830.38, 10,810.59 and 5,180.06 is: 7,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.38 : 10,810.59 = 5,180.06 : x
  2. Step 2: Convert to fraction form
    7,830.38/10,810.59 = 5,180.06/x
  3. Step 3: Cross multiply
    7,830.38x = 10,810.59 × 5,180.06
  4. Step 4: Simplify right side
    7,830.38x = 55,999,504.84
  5. Step 5: Solve for x
    x = 55,999,504.84/7,830.38
  6. Step 6: Final answer
    x = 7,151.57

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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.