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Finding the Fourth Proportional to 10,702.52, 16,048 and 4,855.94

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Solution

The fourth proportional to 10,702.52, 16,048 and 4,855.94 is: 7,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.52 : 16,048 = 4,855.94 : x
  2. Step 2: Convert to fraction form
    10,702.52/16,048 = 4,855.94/x
  3. Step 3: Cross multiply
    10,702.52x = 16,048 × 4,855.94
  4. Step 4: Simplify right side
    10,702.52x = 77,928,125.12
  5. Step 5: Solve for x
    x = 77,928,125.12/10,702.52
  6. Step 6: Final answer
    x = 7,281.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.