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Finding the Fourth Proportional to 7,577.68, 10,455.46 and 4,346.00

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Solution

The fourth proportional to 7,577.68, 10,455.46 and 4,346.00 is: 5,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.68 : 10,455.46 = 4,346.00 : x
  2. Step 2: Convert to fraction form
    7,577.68/10,455.46 = 4,346.00/x
  3. Step 3: Cross multiply
    7,577.68x = 10,455.46 × 4,346.00
  4. Step 4: Simplify right side
    7,577.68x = 45,439,444.43
  5. Step 5: Solve for x
    x = 45,439,444.43/7,577.68
  6. Step 6: Final answer
    x = 5,996.49

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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.