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Finding the Fourth Proportional to 11,347.60, 15,662.94 and 7,576.24

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Solution

The fourth proportional to 11,347.60, 15,662.94 and 7,576.24 is: 10,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.60 : 15,662.94 = 7,576.24 : x
  2. Step 2: Convert to fraction form
    11,347.60/15,662.94 = 7,576.24/x
  3. Step 3: Cross multiply
    11,347.60x = 15,662.94 × 7,576.24
  4. Step 4: Simplify right side
    11,347.60x = 118,666,192.55
  5. Step 5: Solve for x
    x = 118,666,192.55/11,347.60
  6. Step 6: Final answer
    x = 10,457.38

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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.