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Finding the Fourth Proportional to 12,087.77, 16,681.38 and 7,052.32

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Solution

The fourth proportional to 12,087.77, 16,681.38 and 7,052.32 is: 9,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.77 : 16,681.38 = 7,052.32 : x
  2. Step 2: Convert to fraction form
    12,087.77/16,681.38 = 7,052.32/x
  3. Step 3: Cross multiply
    12,087.77x = 16,681.38 × 7,052.32
  4. Step 4: Simplify right side
    12,087.77x = 117,642,330.37
  5. Step 5: Solve for x
    x = 117,642,330.37/12,087.77
  6. Step 6: Final answer
    x = 9,732.35

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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.