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Finding the Fourth Proportional to 11,777.40, 16,254 and 7,748.46

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Solution

The fourth proportional to 11,777.40, 16,254 and 7,748.46 is: 10,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.40 : 16,254 = 7,748.46 : x
  2. Step 2: Convert to fraction form
    11,777.40/16,254 = 7,748.46/x
  3. Step 3: Cross multiply
    11,777.40x = 16,254 × 7,748.46
  4. Step 4: Simplify right side
    11,777.40x = 125,943,468.84
  5. Step 5: Solve for x
    x = 125,943,468.84/11,777.40
  6. Step 6: Final answer
    x = 10,693.66

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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.