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Finding the Fourth Proportional to 7,564.78, 10,438.95 and 4,207.42

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Solution

The fourth proportional to 7,564.78, 10,438.95 and 4,207.42 is: 5,805.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.78 : 10,438.95 = 4,207.42 : x
  2. Step 2: Convert to fraction form
    7,564.78/10,438.95 = 4,207.42/x
  3. Step 3: Cross multiply
    7,564.78x = 10,438.95 × 4,207.42
  4. Step 4: Simplify right side
    7,564.78x = 43,921,047.01
  5. Step 5: Solve for x
    x = 43,921,047.01/7,564.78
  6. Step 6: Final answer
    x = 5,805.99

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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.