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Finding the Fourth Proportional to 8,315.46, 11,476.50 and 4,778.60

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Solution

The fourth proportional to 8,315.46, 11,476.50 and 4,778.60 is: 6,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.46 : 11,476.50 = 4,778.60 : x
  2. Step 2: Convert to fraction form
    8,315.46/11,476.50 = 4,778.60/x
  3. Step 3: Cross multiply
    8,315.46x = 11,476.50 × 4,778.60
  4. Step 4: Simplify right side
    8,315.46x = 54,841,602.90
  5. Step 5: Solve for x
    x = 54,841,602.90/8,315.46
  6. Step 6: Final answer
    x = 6,595.14

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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.