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Finding the Fourth Proportional to 12,058.50, 16,642.71 and 7,582.92

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Solution

The fourth proportional to 12,058.50, 16,642.71 and 7,582.92 is: 10,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.50 : 16,642.71 = 7,582.92 : x
  2. Step 2: Convert to fraction form
    12,058.50/16,642.71 = 7,582.92/x
  3. Step 3: Cross multiply
    12,058.50x = 16,642.71 × 7,582.92
  4. Step 4: Simplify right side
    12,058.50x = 126,200,338.51
  5. Step 5: Solve for x
    x = 126,200,338.51/12,058.50
  6. Step 6: Final answer
    x = 10,465.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.