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Finding the Fourth Proportional to 11,301.16, 15,595.99 and 6,824.02

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Solution

The fourth proportional to 11,301.16, 15,595.99 and 6,824.02 is: 9,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.16 : 15,595.99 = 6,824.02 : x
  2. Step 2: Convert to fraction form
    11,301.16/15,595.99 = 6,824.02/x
  3. Step 3: Cross multiply
    11,301.16x = 15,595.99 × 6,824.02
  4. Step 4: Simplify right side
    11,301.16x = 106,427,291.63
  5. Step 5: Solve for x
    x = 106,427,291.63/11,301.16
  6. Step 6: Final answer
    x = 9,417.38

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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.