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Finding the Fourth Proportional to 7,774.26, 10,728.70 and 4,417.26

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Solution

The fourth proportional to 7,774.26, 10,728.70 and 4,417.26 is: 6,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.26 : 10,728.70 = 4,417.26 : x
  2. Step 2: Convert to fraction form
    7,774.26/10,728.70 = 4,417.26/x
  3. Step 3: Cross multiply
    7,774.26x = 10,728.70 × 4,417.26
  4. Step 4: Simplify right side
    7,774.26x = 47,391,457.36
  5. Step 5: Solve for x
    x = 47,391,457.36/7,774.26
  6. Step 6: Final answer
    x = 6,095.94

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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.