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Finding the Fourth Proportional to 8,461.51, 11,678.11 and 4,875.77

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Solution

The fourth proportional to 8,461.51, 11,678.11 and 4,875.77 is: 6,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.51 : 11,678.11 = 4,875.77 : x
  2. Step 2: Convert to fraction form
    8,461.51/11,678.11 = 4,875.77/x
  3. Step 3: Cross multiply
    8,461.51x = 11,678.11 × 4,875.77
  4. Step 4: Simplify right side
    8,461.51x = 56,939,778.39
  5. Step 5: Solve for x
    x = 56,939,778.39/8,461.51
  6. Step 6: Final answer
    x = 6,729.27

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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.