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Finding the Fourth Proportional to 10,467.26, 14,454.22 and 7,810.08

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Solution

The fourth proportional to 10,467.26, 14,454.22 and 7,810.08 is: 10,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.26 : 14,454.22 = 7,810.08 : x
  2. Step 2: Convert to fraction form
    10,467.26/14,454.22 = 7,810.08/x
  3. Step 3: Cross multiply
    10,467.26x = 14,454.22 × 7,810.08
  4. Step 4: Simplify right side
    10,467.26x = 112,888,614.54
  5. Step 5: Solve for x
    x = 112,888,614.54/10,467.26
  6. Step 6: Final answer
    x = 10,784.93

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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.