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Finding the Fourth Proportional to 7,780.52, 10,734.08 and 4,376.75

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Solution

The fourth proportional to 7,780.52, 10,734.08 and 4,376.75 is: 6,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.52 : 10,734.08 = 4,376.75 : x
  2. Step 2: Convert to fraction form
    7,780.52/10,734.08 = 4,376.75/x
  3. Step 3: Cross multiply
    7,780.52x = 10,734.08 × 4,376.75
  4. Step 4: Simplify right side
    7,780.52x = 46,980,309.09
  5. Step 5: Solve for x
    x = 46,980,309.09/7,780.52
  6. Step 6: Final answer
    x = 6,038.19

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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.