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Finding the Fourth Proportional to 10,197.29, 15,271.03 and 7,068.67

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Solution

The fourth proportional to 10,197.29, 15,271.03 and 7,068.67 is: 10,585.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.29 : 15,271.03 = 7,068.67 : x
  2. Step 2: Convert to fraction form
    10,197.29/15,271.03 = 7,068.67/x
  3. Step 3: Cross multiply
    10,197.29x = 15,271.03 × 7,068.67
  4. Step 4: Simplify right side
    10,197.29x = 107,945,842.29
  5. Step 5: Solve for x
    x = 107,945,842.29/10,197.29
  6. Step 6: Final answer
    x = 10,585.74

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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.