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Finding the Fourth Proportional to 11,658.56, 16,089.14 and 6,622.46

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Solution

The fourth proportional to 11,658.56, 16,089.14 and 6,622.46 is: 9,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.56 : 16,089.14 = 6,622.46 : x
  2. Step 2: Convert to fraction form
    11,658.56/16,089.14 = 6,622.46/x
  3. Step 3: Cross multiply
    11,658.56x = 16,089.14 × 6,622.46
  4. Step 4: Simplify right side
    11,658.56x = 106,549,686.08
  5. Step 5: Solve for x
    x = 106,549,686.08/11,658.56
  6. Step 6: Final answer
    x = 9,139.18

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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.