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Finding the Fourth Proportional to 10,578.94, 15,873.62 and 5,030.84

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Solution

The fourth proportional to 10,578.94, 15,873.62 and 5,030.84 is: 7,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.94 : 15,873.62 = 5,030.84 : x
  2. Step 2: Convert to fraction form
    10,578.94/15,873.62 = 5,030.84/x
  3. Step 3: Cross multiply
    10,578.94x = 15,873.62 × 5,030.84
  4. Step 4: Simplify right side
    10,578.94x = 79,857,656.97
  5. Step 5: Solve for x
    x = 79,857,656.97/10,578.94
  6. Step 6: Final answer
    x = 7,548.74

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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.