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Finding the Fourth Proportional to 11,505.36, 15,877.95 and 6,471.16

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Solution

The fourth proportional to 11,505.36, 15,877.95 and 6,471.16 is: 8,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.36 : 15,877.95 = 6,471.16 : x
  2. Step 2: Convert to fraction form
    11,505.36/15,877.95 = 6,471.16/x
  3. Step 3: Cross multiply
    11,505.36x = 15,877.95 × 6,471.16
  4. Step 4: Simplify right side
    11,505.36x = 102,748,754.92
  5. Step 5: Solve for x
    x = 102,748,754.92/11,505.36
  6. Step 6: Final answer
    x = 8,930.52

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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.