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Finding the Fourth Proportional to 5,497.11, 7,563.45 and 4,748.67

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Solution

The fourth proportional to 5,497.11, 7,563.45 and 4,748.67 is: 6,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.11 : 7,563.45 = 4,748.67 : x
  2. Step 2: Convert to fraction form
    5,497.11/7,563.45 = 4,748.67/x
  3. Step 3: Cross multiply
    5,497.11x = 7,563.45 × 4,748.67
  4. Step 4: Simplify right side
    5,497.11x = 35,916,328.11
  5. Step 5: Solve for x
    x = 35,916,328.11/5,497.11
  6. Step 6: Final answer
    x = 6,533.67

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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.