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Finding the Fourth Proportional to 11,642.32, 16,065.18 and 6,604.93

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Solution

The fourth proportional to 11,642.32, 16,065.18 and 6,604.93 is: 9,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.32 : 16,065.18 = 6,604.93 : x
  2. Step 2: Convert to fraction form
    11,642.32/16,065.18 = 6,604.93/x
  3. Step 3: Cross multiply
    11,642.32x = 16,065.18 × 6,604.93
  4. Step 4: Simplify right side
    11,642.32x = 106,109,389.34
  5. Step 5: Solve for x
    x = 106,109,389.34/11,642.32
  6. Step 6: Final answer
    x = 9,114.11

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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.