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Finding the Fourth Proportional to 10,985.64, 15,128.26 and 9,549.37

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Solution

The fourth proportional to 10,985.64, 15,128.26 and 9,549.37 is: 13,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.64 : 15,128.26 = 9,549.37 : x
  2. Step 2: Convert to fraction form
    10,985.64/15,128.26 = 9,549.37/x
  3. Step 3: Cross multiply
    10,985.64x = 15,128.26 × 9,549.37
  4. Step 4: Simplify right side
    10,985.64x = 144,465,352.20
  5. Step 5: Solve for x
    x = 144,465,352.20/10,985.64
  6. Step 6: Final answer
    x = 13,150.38

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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.