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Finding the Fourth Proportional to 8,653.72, 11,943.11 and 4,877

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Solution

The fourth proportional to 8,653.72, 11,943.11 and 4,877 is: 6,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.72 : 11,943.11 = 4,877 : x
  2. Step 2: Convert to fraction form
    8,653.72/11,943.11 = 4,877/x
  3. Step 3: Cross multiply
    8,653.72x = 11,943.11 × 4,877
  4. Step 4: Simplify right side
    8,653.72x = 58,246,547.47
  5. Step 5: Solve for x
    x = 58,246,547.47/8,653.72
  6. Step 6: Final answer
    x = 6,730.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.