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Finding the Fourth Proportional to 10,516.36, 14,510.93 and 6,039.49

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Solution

The fourth proportional to 10,516.36, 14,510.93 and 6,039.49 is: 8,333.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.36 : 14,510.93 = 6,039.49 : x
  2. Step 2: Convert to fraction form
    10,516.36/14,510.93 = 6,039.49/x
  3. Step 3: Cross multiply
    10,516.36x = 14,510.93 × 6,039.49
  4. Step 4: Simplify right side
    10,516.36x = 87,638,616.63
  5. Step 5: Solve for x
    x = 87,638,616.63/10,516.36
  6. Step 6: Final answer
    x = 8,333.55

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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.