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Finding the Fourth Proportional to 7,666.40, 10,579.20 and 4,523.60

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Solution

The fourth proportional to 7,666.40, 10,579.20 and 4,523.60 is: 6,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.40 : 10,579.20 = 4,523.60 : x
  2. Step 2: Convert to fraction form
    7,666.40/10,579.20 = 4,523.60/x
  3. Step 3: Cross multiply
    7,666.40x = 10,579.20 × 4,523.60
  4. Step 4: Simplify right side
    7,666.40x = 47,856,069.12
  5. Step 5: Solve for x
    x = 47,856,069.12/7,666.40
  6. Step 6: Final answer
    x = 6,242.31

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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.