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Finding the Fourth Proportional to 7,409.29, 10,224.40 and 4,051.43

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Solution

The fourth proportional to 7,409.29, 10,224.40 and 4,051.43 is: 5,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.29 : 10,224.40 = 4,051.43 : x
  2. Step 2: Convert to fraction form
    7,409.29/10,224.40 = 4,051.43/x
  3. Step 3: Cross multiply
    7,409.29x = 10,224.40 × 4,051.43
  4. Step 4: Simplify right side
    7,409.29x = 41,423,440.89
  5. Step 5: Solve for x
    x = 41,423,440.89/7,409.29
  6. Step 6: Final answer
    x = 5,590.75

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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.