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Finding the Fourth Proportional to 10,068.74, 13,895.02 and 6,089.16

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Solution

The fourth proportional to 10,068.74, 13,895.02 and 6,089.16 is: 8,403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,068.74 : 13,895.02 = 6,089.16 : x
  2. Step 2: Convert to fraction form
    10,068.74/13,895.02 = 6,089.16/x
  3. Step 3: Cross multiply
    10,068.74x = 13,895.02 × 6,089.16
  4. Step 4: Simplify right side
    10,068.74x = 84,608,999.98
  5. Step 5: Solve for x
    x = 84,608,999.98/10,068.74
  6. Step 6: Final answer
    x = 8,403.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.