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Finding the Fourth Proportional to 11,451.64, 15,800.04 and 6,975.52

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Solution

The fourth proportional to 11,451.64, 15,800.04 and 6,975.52 is: 9,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.64 : 15,800.04 = 6,975.52 : x
  2. Step 2: Convert to fraction form
    11,451.64/15,800.04 = 6,975.52/x
  3. Step 3: Cross multiply
    11,451.64x = 15,800.04 × 6,975.52
  4. Step 4: Simplify right side
    11,451.64x = 110,213,495.02
  5. Step 5: Solve for x
    x = 110,213,495.02/11,451.64
  6. Step 6: Final answer
    x = 9,624.25

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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.