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Finding the Fourth Proportional to 11,595.93, 16,002.32 and 6,290.63

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Solution

The fourth proportional to 11,595.93, 16,002.32 and 6,290.63 is: 8,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.93 : 16,002.32 = 6,290.63 : x
  2. Step 2: Convert to fraction form
    11,595.93/16,002.32 = 6,290.63/x
  3. Step 3: Cross multiply
    11,595.93x = 16,002.32 × 6,290.63
  4. Step 4: Simplify right side
    11,595.93x = 100,664,642.81
  5. Step 5: Solve for x
    x = 100,664,642.81/11,595.93
  6. Step 6: Final answer
    x = 8,681.03

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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.