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Finding the Fourth Proportional to 7,564.59, 11,357.52 and 3,869.47

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Solution

The fourth proportional to 7,564.59, 11,357.52 and 3,869.47 is: 5,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.59 : 11,357.52 = 3,869.47 : x
  2. Step 2: Convert to fraction form
    7,564.59/11,357.52 = 3,869.47/x
  3. Step 3: Cross multiply
    7,564.59x = 11,357.52 × 3,869.47
  4. Step 4: Simplify right side
    7,564.59x = 43,947,582.60
  5. Step 5: Solve for x
    x = 43,947,582.60/7,564.59
  6. Step 6: Final answer
    x = 5,809.65

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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.