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Finding the Fourth Proportional to 7,829.70, 10,804.23 and 4,685.82

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Solution

The fourth proportional to 7,829.70, 10,804.23 and 4,685.82 is: 6,465.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.70 : 10,804.23 = 4,685.82 : x
  2. Step 2: Convert to fraction form
    7,829.70/10,804.23 = 4,685.82/x
  3. Step 3: Cross multiply
    7,829.70x = 10,804.23 × 4,685.82
  4. Step 4: Simplify right side
    7,829.70x = 50,626,677.02
  5. Step 5: Solve for x
    x = 50,626,677.02/7,829.70
  6. Step 6: Final answer
    x = 6,465.98

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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.