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Finding the Fourth Proportional to 10,467.90, 14,458.47 and 7,827.03

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Solution

The fourth proportional to 10,467.90, 14,458.47 and 7,827.03 is: 10,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.90 : 14,458.47 = 7,827.03 : x
  2. Step 2: Convert to fraction form
    10,467.90/14,458.47 = 7,827.03/x
  3. Step 3: Cross multiply
    10,467.90x = 14,458.47 × 7,827.03
  4. Step 4: Simplify right side
    10,467.90x = 113,166,878.44
  5. Step 5: Solve for x
    x = 113,166,878.44/10,467.90
  6. Step 6: Final answer
    x = 10,810.85

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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.