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Finding the Fourth Proportional to 11,380.60, 15,699.04 and 7,130.76

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Solution

The fourth proportional to 11,380.60, 15,699.04 and 7,130.76 is: 9,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380.60 : 15,699.04 = 7,130.76 : x
  2. Step 2: Convert to fraction form
    11,380.60/15,699.04 = 7,130.76/x
  3. Step 3: Cross multiply
    11,380.60x = 15,699.04 × 7,130.76
  4. Step 4: Simplify right side
    11,380.60x = 111,946,086.47
  5. Step 5: Solve for x
    x = 111,946,086.47/11,380.60
  6. Step 6: Final answer
    x = 9,836.57

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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.