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Finding the Fourth Proportional to 7,085.66, 9,777.84 and 4,252.47

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Solution

The fourth proportional to 7,085.66, 9,777.84 and 4,252.47 is: 5,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.66 : 9,777.84 = 4,252.47 : x
  2. Step 2: Convert to fraction form
    7,085.66/9,777.84 = 4,252.47/x
  3. Step 3: Cross multiply
    7,085.66x = 9,777.84 × 4,252.47
  4. Step 4: Simplify right side
    7,085.66x = 41,579,971.26
  5. Step 5: Solve for x
    x = 41,579,971.26/7,085.66
  6. Step 6: Final answer
    x = 5,868.19

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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.