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Finding the Fourth Proportional to 11,865.56, 16,374.28 and 7,152.44

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Solution

The fourth proportional to 11,865.56, 16,374.28 and 7,152.44 is: 9,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.56 : 16,374.28 = 7,152.44 : x
  2. Step 2: Convert to fraction form
    11,865.56/16,374.28 = 7,152.44/x
  3. Step 3: Cross multiply
    11,865.56x = 16,374.28 × 7,152.44
  4. Step 4: Simplify right side
    11,865.56x = 117,116,055.24
  5. Step 5: Solve for x
    x = 117,116,055.24/11,865.56
  6. Step 6: Final answer
    x = 9,870.25

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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.