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Finding the Fourth Proportional to 7,547.32, 11,317.36 and 2,800.22

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Solution

The fourth proportional to 7,547.32, 11,317.36 and 2,800.22 is: 4,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.32 : 11,317.36 = 2,800.22 : x
  2. Step 2: Convert to fraction form
    7,547.32/11,317.36 = 2,800.22/x
  3. Step 3: Cross multiply
    7,547.32x = 11,317.36 × 2,800.22
  4. Step 4: Simplify right side
    7,547.32x = 31,691,048.23
  5. Step 5: Solve for x
    x = 31,691,048.23/7,547.32
  6. Step 6: Final answer
    x = 4,198.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.