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Finding the Fourth Proportional to 7,964.63, 10,977.64 and 5,442.36

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Solution

The fourth proportional to 7,964.63, 10,977.64 and 5,442.36 is: 7,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.63 : 10,977.64 = 5,442.36 : x
  2. Step 2: Convert to fraction form
    7,964.63/10,977.64 = 5,442.36/x
  3. Step 3: Cross multiply
    7,964.63x = 10,977.64 × 5,442.36
  4. Step 4: Simplify right side
    7,964.63x = 59,744,186.73
  5. Step 5: Solve for x
    x = 59,744,186.73/7,964.63
  6. Step 6: Final answer
    x = 7,501.19

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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.