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Finding the Fourth Proportional to 10,014.60, 13,820 and 5,538.25

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Solution

The fourth proportional to 10,014.60, 13,820 and 5,538.25 is: 7,642.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.60 : 13,820 = 5,538.25 : x
  2. Step 2: Convert to fraction form
    10,014.60/13,820 = 5,538.25/x
  3. Step 3: Cross multiply
    10,014.60x = 13,820 × 5,538.25
  4. Step 4: Simplify right side
    10,014.60x = 76,538,615
  5. Step 5: Solve for x
    x = 76,538,615/10,014.60
  6. Step 6: Final answer
    x = 7,642.70

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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.