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Finding the Fourth Proportional to 7,902.64, 10,905.58 and 4,365.84

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Solution

The fourth proportional to 7,902.64, 10,905.58 and 4,365.84 is: 6,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.64 : 10,905.58 = 4,365.84 : x
  2. Step 2: Convert to fraction form
    7,902.64/10,905.58 = 4,365.84/x
  3. Step 3: Cross multiply
    7,902.64x = 10,905.58 × 4,365.84
  4. Step 4: Simplify right side
    7,902.64x = 47,612,017.39
  5. Step 5: Solve for x
    x = 47,612,017.39/7,902.64
  6. Step 6: Final answer
    x = 6,024.82

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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.