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Finding the Fourth Proportional to 11,117.84, 15,309.96 and 9,938.48

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Solution

The fourth proportional to 11,117.84, 15,309.96 and 9,938.48 is: 13,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117.84 : 15,309.96 = 9,938.48 : x
  2. Step 2: Convert to fraction form
    11,117.84/15,309.96 = 9,938.48/x
  3. Step 3: Cross multiply
    11,117.84x = 15,309.96 × 9,938.48
  4. Step 4: Simplify right side
    11,117.84x = 152,157,731.26
  5. Step 5: Solve for x
    x = 152,157,731.26/11,117.84
  6. Step 6: Final answer
    x = 13,685.91

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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.