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Finding the Fourth Proportional to 11,364.74, 15,685.21 and 7,117.41

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Solution

The fourth proportional to 11,364.74, 15,685.21 and 7,117.41 is: 9,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.74 : 15,685.21 = 7,117.41 : x
  2. Step 2: Convert to fraction form
    11,364.74/15,685.21 = 7,117.41/x
  3. Step 3: Cross multiply
    11,364.74x = 15,685.21 × 7,117.41
  4. Step 4: Simplify right side
    11,364.74x = 111,638,070.51
  5. Step 5: Solve for x
    x = 111,638,070.51/11,364.74
  6. Step 6: Final answer
    x = 9,823.20

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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.