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Finding the Fourth Proportional to 7,280.57, 10,037.01 and 6,157

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Solution

The fourth proportional to 7,280.57, 10,037.01 and 6,157 is: 8,488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280.57 : 10,037.01 = 6,157 : x
  2. Step 2: Convert to fraction form
    7,280.57/10,037.01 = 6,157/x
  3. Step 3: Cross multiply
    7,280.57x = 10,037.01 × 6,157
  4. Step 4: Simplify right side
    7,280.57x = 61,797,870.57
  5. Step 5: Solve for x
    x = 61,797,870.57/7,280.57
  6. Step 6: Final answer
    x = 8,488.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.