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Finding the Fourth Proportional to 7,749.16, 10,696.27 and 4,954.66

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Solution

The fourth proportional to 7,749.16, 10,696.27 and 4,954.66 is: 6,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.16 : 10,696.27 = 4,954.66 : x
  2. Step 2: Convert to fraction form
    7,749.16/10,696.27 = 4,954.66/x
  3. Step 3: Cross multiply
    7,749.16x = 10,696.27 × 4,954.66
  4. Step 4: Simplify right side
    7,749.16x = 52,996,381.12
  5. Step 5: Solve for x
    x = 52,996,381.12/7,749.16
  6. Step 6: Final answer
    x = 6,838.98

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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.