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Finding the Fourth Proportional to 7,729.95, 10,663.20 and 4,706.00

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Solution

The fourth proportional to 7,729.95, 10,663.20 and 4,706.00 is: 6,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.95 : 10,663.20 = 4,706.00 : x
  2. Step 2: Convert to fraction form
    7,729.95/10,663.20 = 4,706.00/x
  3. Step 3: Cross multiply
    7,729.95x = 10,663.20 × 4,706.00
  4. Step 4: Simplify right side
    7,729.95x = 50,180,965.88
  5. Step 5: Solve for x
    x = 50,180,965.88/7,729.95
  6. Step 6: Final answer
    x = 6,491.76

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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.