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Finding the Fourth Proportional to 7,815.34, 10,785.23 and 4,458.12

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Solution

The fourth proportional to 7,815.34, 10,785.23 and 4,458.12 is: 6,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.34 : 10,785.23 = 4,458.12 : x
  2. Step 2: Convert to fraction form
    7,815.34/10,785.23 = 4,458.12/x
  3. Step 3: Cross multiply
    7,815.34x = 10,785.23 × 4,458.12
  4. Step 4: Simplify right side
    7,815.34x = 48,081,849.57
  5. Step 5: Solve for x
    x = 48,081,849.57/7,815.34
  6. Step 6: Final answer
    x = 6,152.24

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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.