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Finding the Fourth Proportional to 11,065.68, 16,605 and 4,497.12

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Solution

The fourth proportional to 11,065.68, 16,605 and 4,497.12 is: 6,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.68 : 16,605 = 4,497.12 : x
  2. Step 2: Convert to fraction form
    11,065.68/16,605 = 4,497.12/x
  3. Step 3: Cross multiply
    11,065.68x = 16,605 × 4,497.12
  4. Step 4: Simplify right side
    11,065.68x = 74,674,677.60
  5. Step 5: Solve for x
    x = 74,674,677.60/11,065.68
  6. Step 6: Final answer
    x = 6,748.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.