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Finding the Fourth Proportional to 10,964.60, 16,437.30 and 6,577.40

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Solution

The fourth proportional to 10,964.60, 16,437.30 and 6,577.40 is: 9,860.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.60 : 16,437.30 = 6,577.40 : x
  2. Step 2: Convert to fraction form
    10,964.60/16,437.30 = 6,577.40/x
  3. Step 3: Cross multiply
    10,964.60x = 16,437.30 × 6,577.40
  4. Step 4: Simplify right side
    10,964.60x = 108,114,697.02
  5. Step 5: Solve for x
    x = 108,114,697.02/10,964.60
  6. Step 6: Final answer
    x = 9,860.34

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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.