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Finding the Fourth Proportional to 7,829.98, 10,804.32 and 4,472.58

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Solution

The fourth proportional to 7,829.98, 10,804.32 and 4,472.58 is: 6,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.98 : 10,804.32 = 4,472.58 : x
  2. Step 2: Convert to fraction form
    7,829.98/10,804.32 = 4,472.58/x
  3. Step 3: Cross multiply
    7,829.98x = 10,804.32 × 4,472.58
  4. Step 4: Simplify right side
    7,829.98x = 48,323,185.55
  5. Step 5: Solve for x
    x = 48,323,185.55/7,829.98
  6. Step 6: Final answer
    x = 6,171.56

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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.