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Finding the Fourth Proportional to 10,290.40, 15,437.46 and 7,855.48

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Solution

The fourth proportional to 10,290.40, 15,437.46 and 7,855.48 is: 11,784.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.40 : 15,437.46 = 7,855.48 : x
  2. Step 2: Convert to fraction form
    10,290.40/15,437.46 = 7,855.48/x
  3. Step 3: Cross multiply
    10,290.40x = 15,437.46 × 7,855.48
  4. Step 4: Simplify right side
    10,290.40x = 121,268,658.28
  5. Step 5: Solve for x
    x = 121,268,658.28/10,290.40
  6. Step 6: Final answer
    x = 11,784.64

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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.