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Finding the Fourth Proportional to 8,541.65, 12,877.23 and 8,007.20

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Solution

The fourth proportional to 8,541.65, 12,877.23 and 8,007.20 is: 12,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.65 : 12,877.23 = 8,007.20 : x
  2. Step 2: Convert to fraction form
    8,541.65/12,877.23 = 8,007.20/x
  3. Step 3: Cross multiply
    8,541.65x = 12,877.23 × 8,007.20
  4. Step 4: Simplify right side
    8,541.65x = 103,110,597.38
  5. Step 5: Solve for x
    x = 103,110,597.38/8,541.65
  6. Step 6: Final answer
    x = 12,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.