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Finding the Fourth Proportional to 10,762.25, 14,852.23 and 6,514.09

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Solution

The fourth proportional to 10,762.25, 14,852.23 and 6,514.09 is: 8,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.25 : 14,852.23 = 6,514.09 : x
  2. Step 2: Convert to fraction form
    10,762.25/14,852.23 = 6,514.09/x
  3. Step 3: Cross multiply
    10,762.25x = 14,852.23 × 6,514.09
  4. Step 4: Simplify right side
    10,762.25x = 96,748,709.50
  5. Step 5: Solve for x
    x = 96,748,709.50/10,762.25
  6. Step 6: Final answer
    x = 8,989.64

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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.