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Finding the Fourth Proportional to 11,386.45, 15,703.06 and 7,137.94

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Solution

The fourth proportional to 11,386.45, 15,703.06 and 7,137.94 is: 9,843.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.45 : 15,703.06 = 7,137.94 : x
  2. Step 2: Convert to fraction form
    11,386.45/15,703.06 = 7,137.94/x
  3. Step 3: Cross multiply
    11,386.45x = 15,703.06 × 7,137.94
  4. Step 4: Simplify right side
    11,386.45x = 112,087,500.10
  5. Step 5: Solve for x
    x = 112,087,500.10/11,386.45
  6. Step 6: Final answer
    x = 9,843.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.