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Finding the Fourth Proportional to 11,888.95, 16,406.76 and 6,583.77

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Solution

The fourth proportional to 11,888.95, 16,406.76 and 6,583.77 is: 9,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.95 : 16,406.76 = 6,583.77 : x
  2. Step 2: Convert to fraction form
    11,888.95/16,406.76 = 6,583.77/x
  3. Step 3: Cross multiply
    11,888.95x = 16,406.76 × 6,583.77
  4. Step 4: Simplify right side
    11,888.95x = 108,018,334.29
  5. Step 5: Solve for x
    x = 108,018,334.29/11,888.95
  6. Step 6: Final answer
    x = 9,085.61

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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.