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Finding the Fourth Proportional to 11,038.74, 15,225.75 and 7,495.80

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Solution

The fourth proportional to 11,038.74, 15,225.75 and 7,495.80 is: 10,338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038.74 : 15,225.75 = 7,495.80 : x
  2. Step 2: Convert to fraction form
    11,038.74/15,225.75 = 7,495.80/x
  3. Step 3: Cross multiply
    11,038.74x = 15,225.75 × 7,495.80
  4. Step 4: Simplify right side
    11,038.74x = 114,129,176.85
  5. Step 5: Solve for x
    x = 114,129,176.85/11,038.74
  6. Step 6: Final answer
    x = 10,338.97

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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.