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Finding the Fourth Proportional to 10,588.40, 14,569.08 and 8,693

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Solution

The fourth proportional to 10,588.40, 14,569.08 and 8,693 is: 11,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.40 : 14,569.08 = 8,693 : x
  2. Step 2: Convert to fraction form
    10,588.40/14,569.08 = 8,693/x
  3. Step 3: Cross multiply
    10,588.40x = 14,569.08 × 8,693
  4. Step 4: Simplify right side
    10,588.40x = 126,649,012.44
  5. Step 5: Solve for x
    x = 126,649,012.44/10,588.40
  6. Step 6: Final answer
    x = 11,961.11

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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.