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Finding the Fourth Proportional to 10,630.22, 14,661.68 and 7,038.81

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Solution

The fourth proportional to 10,630.22, 14,661.68 and 7,038.81 is: 9,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,630.22 : 14,661.68 = 7,038.81 : x
  2. Step 2: Convert to fraction form
    10,630.22/14,661.68 = 7,038.81/x
  3. Step 3: Cross multiply
    10,630.22x = 14,661.68 × 7,038.81
  4. Step 4: Simplify right side
    10,630.22x = 103,200,744.61
  5. Step 5: Solve for x
    x = 103,200,744.61/10,630.22
  6. Step 6: Final answer
    x = 9,708.25

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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.