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Finding the Fourth Proportional to 11,422.35, 15,762.74 and 6,386.51

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Solution

The fourth proportional to 11,422.35, 15,762.74 and 6,386.51 is: 8,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.35 : 15,762.74 = 6,386.51 : x
  2. Step 2: Convert to fraction form
    11,422.35/15,762.74 = 6,386.51/x
  3. Step 3: Cross multiply
    11,422.35x = 15,762.74 × 6,386.51
  4. Step 4: Simplify right side
    11,422.35x = 100,668,904.11
  5. Step 5: Solve for x
    x = 100,668,904.11/11,422.35
  6. Step 6: Final answer
    x = 8,813.33

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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.