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Finding the Fourth Proportional to 7,513.86, 10,369.57 and 4,490.34

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Solution

The fourth proportional to 7,513.86, 10,369.57 and 4,490.34 is: 6,196.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,513.86 : 10,369.57 = 4,490.34 : x
  2. Step 2: Convert to fraction form
    7,513.86/10,369.57 = 4,490.34/x
  3. Step 3: Cross multiply
    7,513.86x = 10,369.57 × 4,490.34
  4. Step 4: Simplify right side
    7,513.86x = 46,562,853.26
  5. Step 5: Solve for x
    x = 46,562,853.26/7,513.86
  6. Step 6: Final answer
    x = 6,196.93

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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.