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Finding the Fourth Proportional to 11,513.16, 15,888.42 and 6,795.72

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Solution

The fourth proportional to 11,513.16, 15,888.42 and 6,795.72 is: 9,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.16 : 15,888.42 = 6,795.72 : x
  2. Step 2: Convert to fraction form
    11,513.16/15,888.42 = 6,795.72/x
  3. Step 3: Cross multiply
    11,513.16x = 15,888.42 × 6,795.72
  4. Step 4: Simplify right side
    11,513.16x = 107,973,253.56
  5. Step 5: Solve for x
    x = 107,973,253.56/11,513.16
  6. Step 6: Final answer
    x = 9,378.25

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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.