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Finding the Fourth Proportional to 7,114.56, 10,663.02 and 2,952

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Solution

The fourth proportional to 7,114.56, 10,663.02 and 2,952 is: 4,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.56 : 10,663.02 = 2,952 : x
  2. Step 2: Convert to fraction form
    7,114.56/10,663.02 = 2,952/x
  3. Step 3: Cross multiply
    7,114.56x = 10,663.02 × 2,952
  4. Step 4: Simplify right side
    7,114.56x = 31,477,235.04
  5. Step 5: Solve for x
    x = 31,477,235.04/7,114.56
  6. Step 6: Final answer
    x = 4,424.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.