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Finding the Fourth Proportional to 7,894.44, 11,830.36 and 5,798

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Solution

The fourth proportional to 7,894.44, 11,830.36 and 5,798 is: 8,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.44 : 11,830.36 = 5,798 : x
  2. Step 2: Convert to fraction form
    7,894.44/11,830.36 = 5,798/x
  3. Step 3: Cross multiply
    7,894.44x = 11,830.36 × 5,798
  4. Step 4: Simplify right side
    7,894.44x = 68,592,427.28
  5. Step 5: Solve for x
    x = 68,592,427.28/7,894.44
  6. Step 6: Final answer
    x = 8,688.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.