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Finding the Fourth Proportional to 11,870.88, 16,385.28 and 6,837.60

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Solution

The fourth proportional to 11,870.88, 16,385.28 and 6,837.60 is: 9,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.88 : 16,385.28 = 6,837.60 : x
  2. Step 2: Convert to fraction form
    11,870.88/16,385.28 = 6,837.60/x
  3. Step 3: Cross multiply
    11,870.88x = 16,385.28 × 6,837.60
  4. Step 4: Simplify right side
    11,870.88x = 112,035,990.53
  5. Step 5: Solve for x
    x = 112,035,990.53/11,870.88
  6. Step 6: Final answer
    x = 9,437.88

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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.