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Finding the Fourth Proportional to 10,498.95, 15,738.39 and 7,386.12

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Solution

The fourth proportional to 10,498.95, 15,738.39 and 7,386.12 is: 11,072.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.95 : 15,738.39 = 7,386.12 : x
  2. Step 2: Convert to fraction form
    10,498.95/15,738.39 = 7,386.12/x
  3. Step 3: Cross multiply
    10,498.95x = 15,738.39 × 7,386.12
  4. Step 4: Simplify right side
    10,498.95x = 116,245,637.15
  5. Step 5: Solve for x
    x = 116,245,637.15/10,498.95
  6. Step 6: Final answer
    x = 11,072.12

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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.