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Finding the Fourth Proportional to 11,655.68, 16,090.80 and 7,898.70

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Solution

The fourth proportional to 11,655.68, 16,090.80 and 7,898.70 is: 10,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.68 : 16,090.80 = 7,898.70 : x
  2. Step 2: Convert to fraction form
    11,655.68/16,090.80 = 7,898.70/x
  3. Step 3: Cross multiply
    11,655.68x = 16,090.80 × 7,898.70
  4. Step 4: Simplify right side
    11,655.68x = 127,096,401.96
  5. Step 5: Solve for x
    x = 127,096,401.96/11,655.68
  6. Step 6: Final answer
    x = 10,904.25

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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.