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Finding the Fourth Proportional to 11,106.31, 15,322.13 and 7,751.07

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Solution

The fourth proportional to 11,106.31, 15,322.13 and 7,751.07 is: 10,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.31 : 15,322.13 = 7,751.07 : x
  2. Step 2: Convert to fraction form
    11,106.31/15,322.13 = 7,751.07/x
  3. Step 3: Cross multiply
    11,106.31x = 15,322.13 × 7,751.07
  4. Step 4: Simplify right side
    11,106.31x = 118,762,902.18
  5. Step 5: Solve for x
    x = 118,762,902.18/11,106.31
  6. Step 6: Final answer
    x = 10,693.28

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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.