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Finding the Fourth Proportional to 7,815.81, 10,784.82 and 4,458.43

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Solution

The fourth proportional to 7,815.81, 10,784.82 and 4,458.43 is: 6,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.81 : 10,784.82 = 4,458.43 : x
  2. Step 2: Convert to fraction form
    7,815.81/10,784.82 = 4,458.43/x
  3. Step 3: Cross multiply
    7,815.81x = 10,784.82 × 4,458.43
  4. Step 4: Simplify right side
    7,815.81x = 48,083,303.22
  5. Step 5: Solve for x
    x = 48,083,303.22/7,815.81
  6. Step 6: Final answer
    x = 6,152.05

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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.