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Finding the Fourth Proportional to 7,848.32, 10,830.03 and 4,311.41

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Solution

The fourth proportional to 7,848.32, 10,830.03 and 4,311.41 is: 5,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.32 : 10,830.03 = 4,311.41 : x
  2. Step 2: Convert to fraction form
    7,848.32/10,830.03 = 4,311.41/x
  3. Step 3: Cross multiply
    7,848.32x = 10,830.03 × 4,311.41
  4. Step 4: Simplify right side
    7,848.32x = 46,692,699.64
  5. Step 5: Solve for x
    x = 46,692,699.64/7,848.32
  6. Step 6: Final answer
    x = 5,949.39

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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.