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Finding the Fourth Proportional to 10,702.13, 16,059.68 and 4,546.13

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Solution

The fourth proportional to 10,702.13, 16,059.68 and 4,546.13 is: 6,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.13 : 16,059.68 = 4,546.13 : x
  2. Step 2: Convert to fraction form
    10,702.13/16,059.68 = 4,546.13/x
  3. Step 3: Cross multiply
    10,702.13x = 16,059.68 × 4,546.13
  4. Step 4: Simplify right side
    10,702.13x = 73,009,290.01
  5. Step 5: Solve for x
    x = 73,009,290.01/10,702.13
  6. Step 6: Final answer
    x = 6,821.94

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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.