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Finding the Fourth Proportional to 8,317.10, 11,478.03 and 4,780.64

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Solution

The fourth proportional to 8,317.10, 11,478.03 and 4,780.64 is: 6,597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.10 : 11,478.03 = 4,780.64 : x
  2. Step 2: Convert to fraction form
    8,317.10/11,478.03 = 4,780.64/x
  3. Step 3: Cross multiply
    8,317.10x = 11,478.03 × 4,780.64
  4. Step 4: Simplify right side
    8,317.10x = 54,872,329.34
  5. Step 5: Solve for x
    x = 54,872,329.34/8,317.10
  6. Step 6: Final answer
    x = 6,597.53

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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.