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Finding the Fourth Proportional to 10,652.88, 14,702.40 and 5,937.60

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Solution

The fourth proportional to 10,652.88, 14,702.40 and 5,937.60 is: 8,194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.88 : 14,702.40 = 5,937.60 : x
  2. Step 2: Convert to fraction form
    10,652.88/14,702.40 = 5,937.60/x
  3. Step 3: Cross multiply
    10,652.88x = 14,702.40 × 5,937.60
  4. Step 4: Simplify right side
    10,652.88x = 87,296,970.24
  5. Step 5: Solve for x
    x = 87,296,970.24/10,652.88
  6. Step 6: Final answer
    x = 8,194.68

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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.