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Finding the Fourth Proportional to 10,702.02, 16,058.52 and 4,857.96

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Solution

The fourth proportional to 10,702.02, 16,058.52 and 4,857.96 is: 7,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.02 : 16,058.52 = 4,857.96 : x
  2. Step 2: Convert to fraction form
    10,702.02/16,058.52 = 4,857.96/x
  3. Step 3: Cross multiply
    10,702.02x = 16,058.52 × 4,857.96
  4. Step 4: Simplify right side
    10,702.02x = 78,011,647.82
  5. Step 5: Solve for x
    x = 78,011,647.82/10,702.02
  6. Step 6: Final answer
    x = 7,289.43

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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.