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Finding the Fourth Proportional to 11,455.16, 15,803.44 and 6,975.32

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Solution

The fourth proportional to 11,455.16, 15,803.44 and 6,975.32 is: 9,623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.16 : 15,803.44 = 6,975.32 : x
  2. Step 2: Convert to fraction form
    11,455.16/15,803.44 = 6,975.32/x
  3. Step 3: Cross multiply
    11,455.16x = 15,803.44 × 6,975.32
  4. Step 4: Simplify right side
    11,455.16x = 110,234,051.10
  5. Step 5: Solve for x
    x = 110,234,051.10/11,455.16
  6. Step 6: Final answer
    x = 9,623.09

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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.