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Finding the Fourth Proportional to 10,546, 14,543.58 and 6,766.26

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Solution

The fourth proportional to 10,546, 14,543.58 and 6,766.26 is: 9,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546 : 14,543.58 = 6,766.26 : x
  2. Step 2: Convert to fraction form
    10,546/14,543.58 = 6,766.26/x
  3. Step 3: Cross multiply
    10,546x = 14,543.58 × 6,766.26
  4. Step 4: Simplify right side
    10,546x = 98,405,643.61
  5. Step 5: Solve for x
    x = 98,405,643.61/10,546
  6. Step 6: Final answer
    x = 9,331.09

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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.