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Finding the Fourth Proportional to 7,848.36, 10,830.82 and 4,865.64

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Solution

The fourth proportional to 7,848.36, 10,830.82 and 4,865.64 is: 6,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.36 : 10,830.82 = 4,865.64 : x
  2. Step 2: Convert to fraction form
    7,848.36/10,830.82 = 4,865.64/x
  3. Step 3: Cross multiply
    7,848.36x = 10,830.82 × 4,865.64
  4. Step 4: Simplify right side
    7,848.36x = 52,698,871.02
  5. Step 5: Solve for x
    x = 52,698,871.02/7,848.36
  6. Step 6: Final answer
    x = 6,714.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.