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Finding the Fourth Proportional to 7,848.83, 10,830.89 and 7,221.89

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Solution

The fourth proportional to 7,848.83, 10,830.89 and 7,221.89 is: 9,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.83 : 10,830.89 = 7,221.89 : x
  2. Step 2: Convert to fraction form
    7,848.83/10,830.89 = 7,221.89/x
  3. Step 3: Cross multiply
    7,848.83x = 10,830.89 × 7,221.89
  4. Step 4: Simplify right side
    7,848.83x = 78,219,405.92
  5. Step 5: Solve for x
    x = 78,219,405.92/7,848.83
  6. Step 6: Final answer
    x = 9,965.75

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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.