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Finding the Fourth Proportional to 8,358.94, 11,535.18 and 4,582

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Solution

The fourth proportional to 8,358.94, 11,535.18 and 4,582 is: 6,323.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.94 : 11,535.18 = 4,582 : x
  2. Step 2: Convert to fraction form
    8,358.94/11,535.18 = 4,582/x
  3. Step 3: Cross multiply
    8,358.94x = 11,535.18 × 4,582
  4. Step 4: Simplify right side
    8,358.94x = 52,854,194.76
  5. Step 5: Solve for x
    x = 52,854,194.76/8,358.94
  6. Step 6: Final answer
    x = 6,323.07

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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.