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Finding the Fourth Proportional to 8,564.12, 12,835.66 and 4,869.44

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Solution

The fourth proportional to 8,564.12, 12,835.66 and 4,869.44 is: 7,298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.12 : 12,835.66 = 4,869.44 : x
  2. Step 2: Convert to fraction form
    8,564.12/12,835.66 = 4,869.44/x
  3. Step 3: Cross multiply
    8,564.12x = 12,835.66 × 4,869.44
  4. Step 4: Simplify right side
    8,564.12x = 62,502,476.23
  5. Step 5: Solve for x
    x = 62,502,476.23/8,564.12
  6. Step 6: Final answer
    x = 7,298.18

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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.