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Finding the Fourth Proportional to 11,417.63, 17,131.57 and 7,256.56

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Solution

The fourth proportional to 11,417.63, 17,131.57 and 7,256.56 is: 10,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.63 : 17,131.57 = 7,256.56 : x
  2. Step 2: Convert to fraction form
    11,417.63/17,131.57 = 7,256.56/x
  3. Step 3: Cross multiply
    11,417.63x = 17,131.57 × 7,256.56
  4. Step 4: Simplify right side
    11,417.63x = 124,316,265.60
  5. Step 5: Solve for x
    x = 124,316,265.60/11,417.63
  6. Step 6: Final answer
    x = 10,888.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.