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Finding the Fourth Proportional to 11,543.87, 15,928.50 and 6,508.09

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Solution

The fourth proportional to 11,543.87, 15,928.50 and 6,508.09 is: 8,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.87 : 15,928.50 = 6,508.09 : x
  2. Step 2: Convert to fraction form
    11,543.87/15,928.50 = 6,508.09/x
  3. Step 3: Cross multiply
    11,543.87x = 15,928.50 × 6,508.09
  4. Step 4: Simplify right side
    11,543.87x = 103,664,071.74
  5. Step 5: Solve for x
    x = 103,664,071.74/11,543.87
  6. Step 6: Final answer
    x = 8,980.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.