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Finding the Fourth Proportional to 7,796.42, 10,756.00 and 4,807.06

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Solution

The fourth proportional to 7,796.42, 10,756.00 and 4,807.06 is: 6,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.42 : 10,756.00 = 4,807.06 : x
  2. Step 2: Convert to fraction form
    7,796.42/10,756.00 = 4,807.06/x
  3. Step 3: Cross multiply
    7,796.42x = 10,756.00 × 4,807.06
  4. Step 4: Simplify right side
    7,796.42x = 51,704,756.81
  5. Step 5: Solve for x
    x = 51,704,756.81/7,796.42
  6. Step 6: Final answer
    x = 6,631.86

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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.