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Finding the Fourth Proportional to 11,505.76, 15,878.78 and 7,030.37

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Solution

The fourth proportional to 11,505.76, 15,878.78 and 7,030.37 is: 9,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.76 : 15,878.78 = 7,030.37 : x
  2. Step 2: Convert to fraction form
    11,505.76/15,878.78 = 7,030.37/x
  3. Step 3: Cross multiply
    11,505.76x = 15,878.78 × 7,030.37
  4. Step 4: Simplify right side
    11,505.76x = 111,633,724.34
  5. Step 5: Solve for x
    x = 111,633,724.34/11,505.76
  6. Step 6: Final answer
    x = 9,702.42

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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.