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Finding the Fourth Proportional to 11,602.50, 16,011.47 and 6,297.32

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Solution

The fourth proportional to 11,602.50, 16,011.47 and 6,297.32 is: 8,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.50 : 16,011.47 = 6,297.32 : x
  2. Step 2: Convert to fraction form
    11,602.50/16,011.47 = 6,297.32/x
  3. Step 3: Cross multiply
    11,602.50x = 16,011.47 × 6,297.32
  4. Step 4: Simplify right side
    11,602.50x = 100,829,394.22
  5. Step 5: Solve for x
    x = 100,829,394.22/11,602.50
  6. Step 6: Final answer
    x = 8,690.31

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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.