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Finding the Fourth Proportional to 11,645.40, 16,061.97 and 7,392.77

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Solution

The fourth proportional to 11,645.40, 16,061.97 and 7,392.77 is: 10,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.40 : 16,061.97 = 7,392.77 : x
  2. Step 2: Convert to fraction form
    11,645.40/16,061.97 = 7,392.77/x
  3. Step 3: Cross multiply
    11,645.40x = 16,061.97 × 7,392.77
  4. Step 4: Simplify right side
    11,645.40x = 118,742,457.60
  5. Step 5: Solve for x
    x = 118,742,457.60/11,645.40
  6. Step 6: Final answer
    x = 10,196.51

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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.