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Finding the Fourth Proportional to 7,601.84, 10,490.46 and 4,457.42

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Solution

The fourth proportional to 7,601.84, 10,490.46 and 4,457.42 is: 6,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.84 : 10,490.46 = 4,457.42 : x
  2. Step 2: Convert to fraction form
    7,601.84/10,490.46 = 4,457.42/x
  3. Step 3: Cross multiply
    7,601.84x = 10,490.46 × 4,457.42
  4. Step 4: Simplify right side
    7,601.84x = 46,760,386.21
  5. Step 5: Solve for x
    x = 46,760,386.21/7,601.84
  6. Step 6: Final answer
    x = 6,151.19

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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.