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Finding the Fourth Proportional to 12,931.18, 19,379.86 and 5,810.06

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Solution

The fourth proportional to 12,931.18, 19,379.86 and 5,810.06 is: 8,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,931.18 : 19,379.86 = 5,810.06 : x
  2. Step 2: Convert to fraction form
    12,931.18/19,379.86 = 5,810.06/x
  3. Step 3: Cross multiply
    12,931.18x = 19,379.86 × 5,810.06
  4. Step 4: Simplify right side
    12,931.18x = 112,598,183.32
  5. Step 5: Solve for x
    x = 112,598,183.32/12,931.18
  6. Step 6: Final answer
    x = 8,707.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.