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Finding the Fourth Proportional to 4,916.47, 6,778.09 and 4,763.59

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Solution

The fourth proportional to 4,916.47, 6,778.09 and 4,763.59 is: 6,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.47 : 6,778.09 = 4,763.59 : x
  2. Step 2: Convert to fraction form
    4,916.47/6,778.09 = 4,763.59/x
  3. Step 3: Cross multiply
    4,916.47x = 6,778.09 × 4,763.59
  4. Step 4: Simplify right side
    4,916.47x = 32,288,041.74
  5. Step 5: Solve for x
    x = 32,288,041.74/4,916.47
  6. Step 6: Final answer
    x = 6,567.32

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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.