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Finding the Fourth Proportional to 10,078.16, 15,106.84 and 7,297.96

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Solution

The fourth proportional to 10,078.16, 15,106.84 and 7,297.96 is: 10,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.16 : 15,106.84 = 7,297.96 : x
  2. Step 2: Convert to fraction form
    10,078.16/15,106.84 = 7,297.96/x
  3. Step 3: Cross multiply
    10,078.16x = 15,106.84 × 7,297.96
  4. Step 4: Simplify right side
    10,078.16x = 110,249,114.05
  5. Step 5: Solve for x
    x = 110,249,114.05/10,078.16
  6. Step 6: Final answer
    x = 10,939.41

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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.