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Finding the Fourth Proportional to 10,281.94, 15,394.26 and 6,575.02

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Solution

The fourth proportional to 10,281.94, 15,394.26 and 6,575.02 is: 9,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.94 : 15,394.26 = 6,575.02 : x
  2. Step 2: Convert to fraction form
    10,281.94/15,394.26 = 6,575.02/x
  3. Step 3: Cross multiply
    10,281.94x = 15,394.26 × 6,575.02
  4. Step 4: Simplify right side
    10,281.94x = 101,217,567.39
  5. Step 5: Solve for x
    x = 101,217,567.39/10,281.94
  6. Step 6: Final answer
    x = 9,844.21

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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.