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Finding the Fourth Proportional to 7,572.80, 11,355.20 and 2,378.56

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Solution

The fourth proportional to 7,572.80, 11,355.20 and 2,378.56 is: 3,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.80 : 11,355.20 = 2,378.56 : x
  2. Step 2: Convert to fraction form
    7,572.80/11,355.20 = 2,378.56/x
  3. Step 3: Cross multiply
    7,572.80x = 11,355.20 × 2,378.56
  4. Step 4: Simplify right side
    7,572.80x = 27,009,024.51
  5. Step 5: Solve for x
    x = 27,009,024.51/7,572.80
  6. Step 6: Final answer
    x = 3,566.58

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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.