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Finding the Fourth Proportional to 11,935.32, 16,472.16 and 7,156.68

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Solution

The fourth proportional to 11,935.32, 16,472.16 and 7,156.68 is: 9,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.32 : 16,472.16 = 7,156.68 : x
  2. Step 2: Convert to fraction form
    11,935.32/16,472.16 = 7,156.68/x
  3. Step 3: Cross multiply
    11,935.32x = 16,472.16 × 7,156.68
  4. Step 4: Simplify right side
    11,935.32x = 117,885,978.03
  5. Step 5: Solve for x
    x = 117,885,978.03/11,935.32
  6. Step 6: Final answer
    x = 9,877.07

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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.