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Finding the Fourth Proportional to 7,011.52, 9,665.44 and 5,884

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Solution

The fourth proportional to 7,011.52, 9,665.44 and 5,884 is: 8,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.52 : 9,665.44 = 5,884 : x
  2. Step 2: Convert to fraction form
    7,011.52/9,665.44 = 5,884/x
  3. Step 3: Cross multiply
    7,011.52x = 9,665.44 × 5,884
  4. Step 4: Simplify right side
    7,011.52x = 56,871,448.96
  5. Step 5: Solve for x
    x = 56,871,448.96/7,011.52
  6. Step 6: Final answer
    x = 8,111.14

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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.