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Finding the Fourth Proportional to 7,384.68, 10,189.05 and 4,735.67

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Solution

The fourth proportional to 7,384.68, 10,189.05 and 4,735.67 is: 6,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.68 : 10,189.05 = 4,735.67 : x
  2. Step 2: Convert to fraction form
    7,384.68/10,189.05 = 4,735.67/x
  3. Step 3: Cross multiply
    7,384.68x = 10,189.05 × 4,735.67
  4. Step 4: Simplify right side
    7,384.68x = 48,251,927.47
  5. Step 5: Solve for x
    x = 48,251,927.47/7,384.68
  6. Step 6: Final answer
    x = 6,534.06

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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.