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Finding the Fourth Proportional to 11,653.46, 16,083.06 and 7,176.32

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Solution

The fourth proportional to 11,653.46, 16,083.06 and 7,176.32 is: 9,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.46 : 16,083.06 = 7,176.32 : x
  2. Step 2: Convert to fraction form
    11,653.46/16,083.06 = 7,176.32/x
  3. Step 3: Cross multiply
    11,653.46x = 16,083.06 × 7,176.32
  4. Step 4: Simplify right side
    11,653.46x = 115,417,185.14
  5. Step 5: Solve for x
    x = 115,417,185.14/11,653.46
  6. Step 6: Final answer
    x = 9,904.11

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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.