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Finding the Fourth Proportional to 8,130, 12,187.76 and 2,934.72

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Solution

The fourth proportional to 8,130, 12,187.76 and 2,934.72 is: 4,399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130 : 12,187.76 = 2,934.72 : x
  2. Step 2: Convert to fraction form
    8,130/12,187.76 = 2,934.72/x
  3. Step 3: Cross multiply
    8,130x = 12,187.76 × 2,934.72
  4. Step 4: Simplify right side
    8,130x = 35,767,663.03
  5. Step 5: Solve for x
    x = 35,767,663.03/8,130
  6. Step 6: Final answer
    x = 4,399.47

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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.