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Finding the Fourth Proportional to 12,253.86, 16,907.37 and 7,776

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Solution

The fourth proportional to 12,253.86, 16,907.37 and 7,776 is: 10,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.86 : 16,907.37 = 7,776 : x
  2. Step 2: Convert to fraction form
    12,253.86/16,907.37 = 7,776/x
  3. Step 3: Cross multiply
    12,253.86x = 16,907.37 × 7,776
  4. Step 4: Simplify right side
    12,253.86x = 131,471,709.12
  5. Step 5: Solve for x
    x = 131,471,709.12/12,253.86
  6. Step 6: Final answer
    x = 10,729.00

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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.