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Finding the Fourth Proportional to 7,810.19, 10,778.24 and 4,273.40

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Solution

The fourth proportional to 7,810.19, 10,778.24 and 4,273.40 is: 5,897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.19 : 10,778.24 = 4,273.40 : x
  2. Step 2: Convert to fraction form
    7,810.19/10,778.24 = 4,273.40/x
  3. Step 3: Cross multiply
    7,810.19x = 10,778.24 × 4,273.40
  4. Step 4: Simplify right side
    7,810.19x = 46,059,709.45
  5. Step 5: Solve for x
    x = 46,059,709.45/7,810.19
  6. Step 6: Final answer
    x = 5,897.39

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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.