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Finding the Fourth Proportional to 6,970.47, 10,452.42 and 2,587.56

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Solution

The fourth proportional to 6,970.47, 10,452.42 and 2,587.56 is: 3,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.47 : 10,452.42 = 2,587.56 : x
  2. Step 2: Convert to fraction form
    6,970.47/10,452.42 = 2,587.56/x
  3. Step 3: Cross multiply
    6,970.47x = 10,452.42 × 2,587.56
  4. Step 4: Simplify right side
    6,970.47x = 27,046,263.90
  5. Step 5: Solve for x
    x = 27,046,263.90/6,970.47
  6. Step 6: Final answer
    x = 3,880.12

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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.