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Finding the Fourth Proportional to 7,547.44, 11,315.22 and 4,768.26

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Solution

The fourth proportional to 7,547.44, 11,315.22 and 4,768.26 is: 7,148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.44 : 11,315.22 = 4,768.26 : x
  2. Step 2: Convert to fraction form
    7,547.44/11,315.22 = 4,768.26/x
  3. Step 3: Cross multiply
    7,547.44x = 11,315.22 × 4,768.26
  4. Step 4: Simplify right side
    7,547.44x = 53,953,910.92
  5. Step 5: Solve for x
    x = 53,953,910.92/7,547.44
  6. Step 6: Final answer
    x = 7,148.64

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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.