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Finding the Fourth Proportional to 10,910.81, 15,056.98 and 6,130.96

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Solution

The fourth proportional to 10,910.81, 15,056.98 and 6,130.96 is: 8,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.81 : 15,056.98 = 6,130.96 : x
  2. Step 2: Convert to fraction form
    10,910.81/15,056.98 = 6,130.96/x
  3. Step 3: Cross multiply
    10,910.81x = 15,056.98 × 6,130.96
  4. Step 4: Simplify right side
    10,910.81x = 92,313,666.82
  5. Step 5: Solve for x
    x = 92,313,666.82/10,910.81
  6. Step 6: Final answer
    x = 8,460.75

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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.