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Finding the Fourth Proportional to 7,884.72, 11,807.64 and 4,955.76

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Solution

The fourth proportional to 7,884.72, 11,807.64 and 4,955.76 is: 7,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.72 : 11,807.64 = 4,955.76 : x
  2. Step 2: Convert to fraction form
    7,884.72/11,807.64 = 4,955.76/x
  3. Step 3: Cross multiply
    7,884.72x = 11,807.64 × 4,955.76
  4. Step 4: Simplify right side
    7,884.72x = 58,515,830.01
  5. Step 5: Solve for x
    x = 58,515,830.01/7,884.72
  6. Step 6: Final answer
    x = 7,421.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.