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Finding the Fourth Proportional to 10,830.28, 14,953.62 and 7,115.08

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Solution

The fourth proportional to 10,830.28, 14,953.62 and 7,115.08 is: 9,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.28 : 14,953.62 = 7,115.08 : x
  2. Step 2: Convert to fraction form
    10,830.28/14,953.62 = 7,115.08/x
  3. Step 3: Cross multiply
    10,830.28x = 14,953.62 × 7,115.08
  4. Step 4: Simplify right side
    10,830.28x = 106,396,202.59
  5. Step 5: Solve for x
    x = 106,396,202.59/10,830.28
  6. Step 6: Final answer
    x = 9,823.96

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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.