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Finding the Fourth Proportional to 10,530.60, 15,785.10 and 6,145.80

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Solution

The fourth proportional to 10,530.60, 15,785.10 and 6,145.80 is: 9,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.60 : 15,785.10 = 6,145.80 : x
  2. Step 2: Convert to fraction form
    10,530.60/15,785.10 = 6,145.80/x
  3. Step 3: Cross multiply
    10,530.60x = 15,785.10 × 6,145.80
  4. Step 4: Simplify right side
    10,530.60x = 97,012,067.58
  5. Step 5: Solve for x
    x = 97,012,067.58/10,530.60
  6. Step 6: Final answer
    x = 9,212.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.