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Finding the Fourth Proportional to 10,308.56, 14,229.23 and 7,333.02

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Solution

The fourth proportional to 10,308.56, 14,229.23 and 7,333.02 is: 10,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.56 : 14,229.23 = 7,333.02 : x
  2. Step 2: Convert to fraction form
    10,308.56/14,229.23 = 7,333.02/x
  3. Step 3: Cross multiply
    10,308.56x = 14,229.23 × 7,333.02
  4. Step 4: Simplify right side
    10,308.56x = 104,343,191.51
  5. Step 5: Solve for x
    x = 104,343,191.51/10,308.56
  6. Step 6: Final answer
    x = 10,122.00

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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.