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Finding the Fourth Proportional to 10,505.66, 14,492.72 and 6,725.80

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Solution

The fourth proportional to 10,505.66, 14,492.72 and 6,725.80 is: 9,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.66 : 14,492.72 = 6,725.80 : x
  2. Step 2: Convert to fraction form
    10,505.66/14,492.72 = 6,725.80/x
  3. Step 3: Cross multiply
    10,505.66x = 14,492.72 × 6,725.80
  4. Step 4: Simplify right side
    10,505.66x = 97,475,136.18
  5. Step 5: Solve for x
    x = 97,475,136.18/10,505.66
  6. Step 6: Final answer
    x = 9,278.34

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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.