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Finding the Fourth Proportional to 7,902.58, 10,905.06 and 4,719.46

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Solution

The fourth proportional to 7,902.58, 10,905.06 and 4,719.46 is: 6,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.58 : 10,905.06 = 4,719.46 : x
  2. Step 2: Convert to fraction form
    7,902.58/10,905.06 = 4,719.46/x
  3. Step 3: Cross multiply
    7,902.58x = 10,905.06 × 4,719.46
  4. Step 4: Simplify right side
    7,902.58x = 51,465,994.47
  5. Step 5: Solve for x
    x = 51,465,994.47/7,902.58
  6. Step 6: Final answer
    x = 6,512.56

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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.