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Finding the Fourth Proportional to 7,065.68, 10,598.29 and 3,115.72

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Solution

The fourth proportional to 7,065.68, 10,598.29 and 3,115.72 is: 4,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.68 : 10,598.29 = 3,115.72 : x
  2. Step 2: Convert to fraction form
    7,065.68/10,598.29 = 3,115.72/x
  3. Step 3: Cross multiply
    7,065.68x = 10,598.29 × 3,115.72
  4. Step 4: Simplify right side
    7,065.68x = 33,021,267.49
  5. Step 5: Solve for x
    x = 33,021,267.49/7,065.68
  6. Step 6: Final answer
    x = 4,673.47

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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.