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Finding the Fourth Proportional to 12,877.83, 17,775.68 and 7,845.30

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Solution

The fourth proportional to 12,877.83, 17,775.68 and 7,845.30 is: 10,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.83 : 17,775.68 = 7,845.30 : x
  2. Step 2: Convert to fraction form
    12,877.83/17,775.68 = 7,845.30/x
  3. Step 3: Cross multiply
    12,877.83x = 17,775.68 × 7,845.30
  4. Step 4: Simplify right side
    12,877.83x = 139,455,542.30
  5. Step 5: Solve for x
    x = 139,455,542.30/12,877.83
  6. Step 6: Final answer
    x = 10,829.12

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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.