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Finding the Fourth Proportional to 7,829.16, 10,804.16 and 4,292.24

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Solution

The fourth proportional to 7,829.16, 10,804.16 and 4,292.24 is: 5,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.16 : 10,804.16 = 4,292.24 : x
  2. Step 2: Convert to fraction form
    7,829.16/10,804.16 = 4,292.24/x
  3. Step 3: Cross multiply
    7,829.16x = 10,804.16 × 4,292.24
  4. Step 4: Simplify right side
    7,829.16x = 46,374,047.72
  5. Step 5: Solve for x
    x = 46,374,047.72/7,829.16
  6. Step 6: Final answer
    x = 5,923.25

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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.