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Finding the Fourth Proportional to 11,886.72, 16,400.96 and 7,640

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Solution

The fourth proportional to 11,886.72, 16,400.96 and 7,640 is: 10,541.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.72 : 16,400.96 = 7,640 : x
  2. Step 2: Convert to fraction form
    11,886.72/16,400.96 = 7,640/x
  3. Step 3: Cross multiply
    11,886.72x = 16,400.96 × 7,640
  4. Step 4: Simplify right side
    11,886.72x = 125,303,334.40
  5. Step 5: Solve for x
    x = 125,303,334.40/11,886.72
  6. Step 6: Final answer
    x = 10,541.46

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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.