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Finding the Fourth Proportional to 8,275.93, 12,382.90 and 4,931.94

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Solution

The fourth proportional to 8,275.93, 12,382.90 and 4,931.94 is: 7,379.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.93 : 12,382.90 = 4,931.94 : x
  2. Step 2: Convert to fraction form
    8,275.93/12,382.90 = 4,931.94/x
  3. Step 3: Cross multiply
    8,275.93x = 12,382.90 × 4,931.94
  4. Step 4: Simplify right side
    8,275.93x = 61,071,719.83
  5. Step 5: Solve for x
    x = 61,071,719.83/8,275.93
  6. Step 6: Final answer
    x = 7,379.44

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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.