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Finding the Fourth Proportional to 11,461.68, 17,191.56 and 4,534.32

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Solution

The fourth proportional to 11,461.68, 17,191.56 and 4,534.32 is: 6,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.68 : 17,191.56 = 4,534.32 : x
  2. Step 2: Convert to fraction form
    11,461.68/17,191.56 = 4,534.32/x
  3. Step 3: Cross multiply
    11,461.68x = 17,191.56 × 4,534.32
  4. Step 4: Simplify right side
    11,461.68x = 77,952,034.34
  5. Step 5: Solve for x
    x = 77,952,034.34/11,461.68
  6. Step 6: Final answer
    x = 6,801.10

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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.