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Finding the Fourth Proportional to 6,037.68, 8,345.94 and 5,037.12

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Solution

The fourth proportional to 6,037.68, 8,345.94 and 5,037.12 is: 6,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,037.68 : 8,345.94 = 5,037.12 : x
  2. Step 2: Convert to fraction form
    6,037.68/8,345.94 = 5,037.12/x
  3. Step 3: Cross multiply
    6,037.68x = 8,345.94 × 5,037.12
  4. Step 4: Simplify right side
    6,037.68x = 42,039,501.29
  5. Step 5: Solve for x
    x = 42,039,501.29/6,037.68
  6. Step 6: Final answer
    x = 6,962.86

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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.