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Finding the Fourth Proportional to 11,702.52, 16,138.98 and 7,509.96

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Solution

The fourth proportional to 11,702.52, 16,138.98 and 7,509.96 is: 10,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.52 : 16,138.98 = 7,509.96 : x
  2. Step 2: Convert to fraction form
    11,702.52/16,138.98 = 7,509.96/x
  3. Step 3: Cross multiply
    11,702.52x = 16,138.98 × 7,509.96
  4. Step 4: Simplify right side
    11,702.52x = 121,203,094.24
  5. Step 5: Solve for x
    x = 121,203,094.24/11,702.52
  6. Step 6: Final answer
    x = 10,357.01

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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.