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Finding the Fourth Proportional to 10,749.51, 14,834.07 and 6,035.31

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Solution

The fourth proportional to 10,749.51, 14,834.07 and 6,035.31 is: 8,328.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.51 : 14,834.07 = 6,035.31 : x
  2. Step 2: Convert to fraction form
    10,749.51/14,834.07 = 6,035.31/x
  3. Step 3: Cross multiply
    10,749.51x = 14,834.07 × 6,035.31
  4. Step 4: Simplify right side
    10,749.51x = 89,528,211.01
  5. Step 5: Solve for x
    x = 89,528,211.01/10,749.51
  6. Step 6: Final answer
    x = 8,328.59

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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.