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Finding the Fourth Proportional to 7,057.47, 10,585.32 and 4,097.52

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Solution

The fourth proportional to 7,057.47, 10,585.32 and 4,097.52 is: 6,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.47 : 10,585.32 = 4,097.52 : x
  2. Step 2: Convert to fraction form
    7,057.47/10,585.32 = 4,097.52/x
  3. Step 3: Cross multiply
    7,057.47x = 10,585.32 × 4,097.52
  4. Step 4: Simplify right side
    7,057.47x = 43,373,560.41
  5. Step 5: Solve for x
    x = 43,373,560.41/7,057.47
  6. Step 6: Final answer
    x = 6,145.77

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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.