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Finding the Fourth Proportional to 10,938.99, 15,090.64 and 6,459.76

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Solution

The fourth proportional to 10,938.99, 15,090.64 and 6,459.76 is: 8,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.99 : 15,090.64 = 6,459.76 : x
  2. Step 2: Convert to fraction form
    10,938.99/15,090.64 = 6,459.76/x
  3. Step 3: Cross multiply
    10,938.99x = 15,090.64 × 6,459.76
  4. Step 4: Simplify right side
    10,938.99x = 97,481,915.36
  5. Step 5: Solve for x
    x = 97,481,915.36/10,938.99
  6. Step 6: Final answer
    x = 8,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.