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Finding the Fourth Proportional to 10,078.63, 15,119.51 and 5,145.60

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Solution

The fourth proportional to 10,078.63, 15,119.51 and 5,145.60 is: 7,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.63 : 15,119.51 = 5,145.60 : x
  2. Step 2: Convert to fraction form
    10,078.63/15,119.51 = 5,145.60/x
  3. Step 3: Cross multiply
    10,078.63x = 15,119.51 × 5,145.60
  4. Step 4: Simplify right side
    10,078.63x = 77,798,950.66
  5. Step 5: Solve for x
    x = 77,798,950.66/10,078.63
  6. Step 6: Final answer
    x = 7,719.20

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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.