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Finding the Fourth Proportional to 11,130.74, 16,685 and 5,567.10

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Solution

The fourth proportional to 11,130.74, 16,685 and 5,567.10 is: 8,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,130.74 : 16,685 = 5,567.10 : x
  2. Step 2: Convert to fraction form
    11,130.74/16,685 = 5,567.10/x
  3. Step 3: Cross multiply
    11,130.74x = 16,685 × 5,567.10
  4. Step 4: Simplify right side
    11,130.74x = 92,887,063.50
  5. Step 5: Solve for x
    x = 92,887,063.50/11,130.74
  6. Step 6: Final answer
    x = 8,345.09

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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.