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Finding the Fourth Proportional to 7,902.64, 10,905.47 and 4,365.78

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Solution

The fourth proportional to 7,902.64, 10,905.47 and 4,365.78 is: 6,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.64 : 10,905.47 = 4,365.78 : x
  2. Step 2: Convert to fraction form
    7,902.64/10,905.47 = 4,365.78/x
  3. Step 3: Cross multiply
    7,902.64x = 10,905.47 × 4,365.78
  4. Step 4: Simplify right side
    7,902.64x = 47,610,806.46
  5. Step 5: Solve for x
    x = 47,610,806.46/7,902.64
  6. Step 6: Final answer
    x = 6,024.67

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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.