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Finding the Fourth Proportional to 10,913.54, 15,056.69 and 7,138.80

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Solution

The fourth proportional to 10,913.54, 15,056.69 and 7,138.80 is: 9,848.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,913.54 : 15,056.69 = 7,138.80 : x
  2. Step 2: Convert to fraction form
    10,913.54/15,056.69 = 7,138.80/x
  3. Step 3: Cross multiply
    10,913.54x = 15,056.69 × 7,138.80
  4. Step 4: Simplify right side
    10,913.54x = 107,486,662.88
  5. Step 5: Solve for x
    x = 107,486,662.88/10,913.54
  6. Step 6: Final answer
    x = 9,848.93

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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.