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Finding the Fourth Proportional to 6,482.63, 9,725.16 and 2,587.07

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Solution

The fourth proportional to 6,482.63, 9,725.16 and 2,587.07 is: 3,881.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.63 : 9,725.16 = 2,587.07 : x
  2. Step 2: Convert to fraction form
    6,482.63/9,725.16 = 2,587.07/x
  3. Step 3: Cross multiply
    6,482.63x = 9,725.16 × 2,587.07
  4. Step 4: Simplify right side
    6,482.63x = 25,159,703.70
  5. Step 5: Solve for x
    x = 25,159,703.70/6,482.63
  6. Step 6: Final answer
    x = 3,881.09

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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.