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Finding the Fourth Proportional to 7,905.52, 11,858.14 and 4,578.72

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Solution

The fourth proportional to 7,905.52, 11,858.14 and 4,578.72 is: 6,868.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.52 : 11,858.14 = 4,578.72 : x
  2. Step 2: Convert to fraction form
    7,905.52/11,858.14 = 4,578.72/x
  3. Step 3: Cross multiply
    7,905.52x = 11,858.14 × 4,578.72
  4. Step 4: Simplify right side
    7,905.52x = 54,295,102.78
  5. Step 5: Solve for x
    x = 54,295,102.78/7,905.52
  6. Step 6: Final answer
    x = 6,868.00

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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.