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Finding the Fourth Proportional to 11,830.45, 16,326.14 and 6,525.46

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Solution

The fourth proportional to 11,830.45, 16,326.14 and 6,525.46 is: 9,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.45 : 16,326.14 = 6,525.46 : x
  2. Step 2: Convert to fraction form
    11,830.45/16,326.14 = 6,525.46/x
  3. Step 3: Cross multiply
    11,830.45x = 16,326.14 × 6,525.46
  4. Step 4: Simplify right side
    11,830.45x = 106,535,573.52
  5. Step 5: Solve for x
    x = 106,535,573.52/11,830.45
  6. Step 6: Final answer
    x = 9,005.20

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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.