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Finding the Fourth Proportional to 7,748.08, 10,695.10 and 4,604.26

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Solution

The fourth proportional to 7,748.08, 10,695.10 and 4,604.26 is: 6,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.08 : 10,695.10 = 4,604.26 : x
  2. Step 2: Convert to fraction form
    7,748.08/10,695.10 = 4,604.26/x
  3. Step 3: Cross multiply
    7,748.08x = 10,695.10 × 4,604.26
  4. Step 4: Simplify right side
    7,748.08x = 49,243,021.13
  5. Step 5: Solve for x
    x = 49,243,021.13/7,748.08
  6. Step 6: Final answer
    x = 6,355.51

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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.