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Finding the Fourth Proportional to 11,800.48, 17,702.64 and 4,407.52

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Solution

The fourth proportional to 11,800.48, 17,702.64 and 4,407.52 is: 6,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.48 : 17,702.64 = 4,407.52 : x
  2. Step 2: Convert to fraction form
    11,800.48/17,702.64 = 4,407.52/x
  3. Step 3: Cross multiply
    11,800.48x = 17,702.64 × 4,407.52
  4. Step 4: Simplify right side
    11,800.48x = 78,024,739.85
  5. Step 5: Solve for x
    x = 78,024,739.85/11,800.48
  6. Step 6: Final answer
    x = 6,612.00

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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.