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Finding the Fourth Proportional to 7,830.63, 10,806.23 and 4,293.83

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Solution

The fourth proportional to 7,830.63, 10,806.23 and 4,293.83 is: 5,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.63 : 10,806.23 = 4,293.83 : x
  2. Step 2: Convert to fraction form
    7,830.63/10,806.23 = 4,293.83/x
  3. Step 3: Cross multiply
    7,830.63x = 10,806.23 × 4,293.83
  4. Step 4: Simplify right side
    7,830.63x = 46,400,152.31
  5. Step 5: Solve for x
    x = 46,400,152.31/7,830.63
  6. Step 6: Final answer
    x = 5,925.47

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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.