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Finding the Fourth Proportional to 11,533.38, 17,298.50 and 4,508.50

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Solution

The fourth proportional to 11,533.38, 17,298.50 and 4,508.50 is: 6,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533.38 : 17,298.50 = 4,508.50 : x
  2. Step 2: Convert to fraction form
    11,533.38/17,298.50 = 4,508.50/x
  3. Step 3: Cross multiply
    11,533.38x = 17,298.50 × 4,508.50
  4. Step 4: Simplify right side
    11,533.38x = 77,990,264.71
  5. Step 5: Solve for x
    x = 77,990,264.71/11,533.38
  6. Step 6: Final answer
    x = 6,762.14

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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.