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Finding the Fourth Proportional to 7,525.60, 11,266.80 and 4,609.60

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Solution

The fourth proportional to 7,525.60, 11,266.80 and 4,609.60 is: 6,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,525.60 : 11,266.80 = 4,609.60 : x
  2. Step 2: Convert to fraction form
    7,525.60/11,266.80 = 4,609.60/x
  3. Step 3: Cross multiply
    7,525.60x = 11,266.80 × 4,609.60
  4. Step 4: Simplify right side
    7,525.60x = 51,935,441.28
  5. Step 5: Solve for x
    x = 51,935,441.28/7,525.60
  6. Step 6: Final answer
    x = 6,901.17

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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.