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Finding the Fourth Proportional to 8,653.68, 11,942.47 and 4,877.00

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Solution

The fourth proportional to 8,653.68, 11,942.47 and 4,877.00 is: 6,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.68 : 11,942.47 = 4,877.00 : x
  2. Step 2: Convert to fraction form
    8,653.68/11,942.47 = 4,877.00/x
  3. Step 3: Cross multiply
    8,653.68x = 11,942.47 × 4,877.00
  4. Step 4: Simplify right side
    8,653.68x = 58,243,417.36
  5. Step 5: Solve for x
    x = 58,243,417.36/8,653.68
  6. Step 6: Final answer
    x = 6,730.48

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