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Finding the Fourth Proportional to 11,830.77, 16,326.21 and 6,526.08

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Solution

The fourth proportional to 11,830.77, 16,326.21 and 6,526.08 is: 9,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.77 : 16,326.21 = 6,526.08 : x
  2. Step 2: Convert to fraction form
    11,830.77/16,326.21 = 6,526.08/x
  3. Step 3: Cross multiply
    11,830.77x = 16,326.21 × 6,526.08
  4. Step 4: Simplify right side
    11,830.77x = 106,546,152.56
  5. Step 5: Solve for x
    x = 106,546,152.56/11,830.77
  6. Step 6: Final answer
    x = 9,005.85

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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.