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Finding the Fourth Proportional to 7,238.77, 10,856.53 and 4,317.91

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Solution

The fourth proportional to 7,238.77, 10,856.53 and 4,317.91 is: 6,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.77 : 10,856.53 = 4,317.91 : x
  2. Step 2: Convert to fraction form
    7,238.77/10,856.53 = 4,317.91/x
  3. Step 3: Cross multiply
    7,238.77x = 10,856.53 × 4,317.91
  4. Step 4: Simplify right side
    7,238.77x = 46,877,497.71
  5. Step 5: Solve for x
    x = 46,877,497.71/7,238.77
  6. Step 6: Final answer
    x = 6,475.89

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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.