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Finding the Fourth Proportional to 7,065.32, 10,598.70 and 2,447.24

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Solution

The fourth proportional to 7,065.32, 10,598.70 and 2,447.24 is: 3,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.32 : 10,598.70 = 2,447.24 : x
  2. Step 2: Convert to fraction form
    7,065.32/10,598.70 = 2,447.24/x
  3. Step 3: Cross multiply
    7,065.32x = 10,598.70 × 2,447.24
  4. Step 4: Simplify right side
    7,065.32x = 25,937,562.59
  5. Step 5: Solve for x
    x = 25,937,562.59/7,065.32
  6. Step 6: Final answer
    x = 3,671.11

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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.