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Finding the Fourth Proportional to 11,503.47, 17,256.84 and 4,106.37

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Solution

The fourth proportional to 11,503.47, 17,256.84 and 4,106.37 is: 6,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.47 : 17,256.84 = 4,106.37 : x
  2. Step 2: Convert to fraction form
    11,503.47/17,256.84 = 4,106.37/x
  3. Step 3: Cross multiply
    11,503.47x = 17,256.84 × 4,106.37
  4. Step 4: Simplify right side
    11,503.47x = 70,862,970.07
  5. Step 5: Solve for x
    x = 70,862,970.07/11,503.47
  6. Step 6: Final answer
    x = 6,160.14

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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.