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Finding the Fourth Proportional to 10,539.34, 14,551.07 and 6,764.13

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Solution

The fourth proportional to 10,539.34, 14,551.07 and 6,764.13 is: 9,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.34 : 14,551.07 = 6,764.13 : x
  2. Step 2: Convert to fraction form
    10,539.34/14,551.07 = 6,764.13/x
  3. Step 3: Cross multiply
    10,539.34x = 14,551.07 × 6,764.13
  4. Step 4: Simplify right side
    10,539.34x = 98,425,400.60
  5. Step 5: Solve for x
    x = 98,425,400.60/10,539.34
  6. Step 6: Final answer
    x = 9,338.86

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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.