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Finding the Fourth Proportional to 10,503.12, 14,494.56 and 6,468.42

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Solution

The fourth proportional to 10,503.12, 14,494.56 and 6,468.42 is: 8,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.12 : 14,494.56 = 6,468.42 : x
  2. Step 2: Convert to fraction form
    10,503.12/14,494.56 = 6,468.42/x
  3. Step 3: Cross multiply
    10,503.12x = 14,494.56 × 6,468.42
  4. Step 4: Simplify right side
    10,503.12x = 93,756,901.80
  5. Step 5: Solve for x
    x = 93,756,901.80/10,503.12
  6. Step 6: Final answer
    x = 8,926.58

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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.