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Finding the Fourth Proportional to 11,534.40, 17,300.39 and 4,959.63

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Solution

The fourth proportional to 11,534.40, 17,300.39 and 4,959.63 is: 7,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.40 : 17,300.39 = 4,959.63 : x
  2. Step 2: Convert to fraction form
    11,534.40/17,300.39 = 4,959.63/x
  3. Step 3: Cross multiply
    11,534.40x = 17,300.39 × 4,959.63
  4. Step 4: Simplify right side
    11,534.40x = 85,803,508.46
  5. Step 5: Solve for x
    x = 85,803,508.46/11,534.40
  6. Step 6: Final answer
    x = 7,438.92

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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.