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Finding the Fourth Proportional to 11,417.58, 15,759.83 and 7,386.21

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Solution

The fourth proportional to 11,417.58, 15,759.83 and 7,386.21 is: 10,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.58 : 15,759.83 = 7,386.21 : x
  2. Step 2: Convert to fraction form
    11,417.58/15,759.83 = 7,386.21/x
  3. Step 3: Cross multiply
    11,417.58x = 15,759.83 × 7,386.21
  4. Step 4: Simplify right side
    11,417.58x = 116,405,432.41
  5. Step 5: Solve for x
    x = 116,405,432.41/11,417.58
  6. Step 6: Final answer
    x = 10,195.28

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