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Finding the Fourth Proportional to 7,564.93, 10,422.57 and 5,673.54

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Solution

The fourth proportional to 7,564.93, 10,422.57 and 5,673.54 is: 7,816.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.93 : 10,422.57 = 5,673.54 : x
  2. Step 2: Convert to fraction form
    7,564.93/10,422.57 = 5,673.54/x
  3. Step 3: Cross multiply
    7,564.93x = 10,422.57 × 5,673.54
  4. Step 4: Simplify right side
    7,564.93x = 59,132,928.16
  5. Step 5: Solve for x
    x = 59,132,928.16/7,564.93
  6. Step 6: Final answer
    x = 7,816.72

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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.