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Finding the Fourth Proportional to 10,225.96, 15,338.88 and 6,762.40

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Solution

The fourth proportional to 10,225.96, 15,338.88 and 6,762.40 is: 10,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.96 : 15,338.88 = 6,762.40 : x
  2. Step 2: Convert to fraction form
    10,225.96/15,338.88 = 6,762.40/x
  3. Step 3: Cross multiply
    10,225.96x = 15,338.88 × 6,762.40
  4. Step 4: Simplify right side
    10,225.96x = 103,727,642.11
  5. Step 5: Solve for x
    x = 103,727,642.11/10,225.96
  6. Step 6: Final answer
    x = 10,143.56

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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.