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Finding the Fourth Proportional to 11,615.76, 16,030.85 and 7,142.45

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Solution

The fourth proportional to 11,615.76, 16,030.85 and 7,142.45 is: 9,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.76 : 16,030.85 = 7,142.45 : x
  2. Step 2: Convert to fraction form
    11,615.76/16,030.85 = 7,142.45/x
  3. Step 3: Cross multiply
    11,615.76x = 16,030.85 × 7,142.45
  4. Step 4: Simplify right side
    11,615.76x = 114,499,428.72
  5. Step 5: Solve for x
    x = 114,499,428.72/11,615.76
  6. Step 6: Final answer
    x = 9,857.25

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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.