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Finding the Fourth Proportional to 11,875.32, 16,388.06 and 6,570.63

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Solution

The fourth proportional to 11,875.32, 16,388.06 and 6,570.63 is: 9,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.32 : 16,388.06 = 6,570.63 : x
  2. Step 2: Convert to fraction form
    11,875.32/16,388.06 = 6,570.63/x
  3. Step 3: Cross multiply
    11,875.32x = 16,388.06 × 6,570.63
  4. Step 4: Simplify right side
    11,875.32x = 107,679,845.82
  5. Step 5: Solve for x
    x = 107,679,845.82/11,875.32
  6. Step 6: Final answer
    x = 9,067.53

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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.