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Finding the Fourth Proportional to 7,840.78, 10,820.05 and 4,303.99

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Solution

The fourth proportional to 7,840.78, 10,820.05 and 4,303.99 is: 5,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.78 : 10,820.05 = 4,303.99 : x
  2. Step 2: Convert to fraction form
    7,840.78/10,820.05 = 4,303.99/x
  3. Step 3: Cross multiply
    7,840.78x = 10,820.05 × 4,303.99
  4. Step 4: Simplify right side
    7,840.78x = 46,569,332.90
  5. Step 5: Solve for x
    x = 46,569,332.90/7,840.78
  6. Step 6: Final answer
    x = 5,939.38

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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.