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Finding the Fourth Proportional to 8,506.47, 12,758.52 and 2,265.93

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Solution

The fourth proportional to 8,506.47, 12,758.52 and 2,265.93 is: 3,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.47 : 12,758.52 = 2,265.93 : x
  2. Step 2: Convert to fraction form
    8,506.47/12,758.52 = 2,265.93/x
  3. Step 3: Cross multiply
    8,506.47x = 12,758.52 × 2,265.93
  4. Step 4: Simplify right side
    8,506.47x = 28,909,913.22
  5. Step 5: Solve for x
    x = 28,909,913.22/8,506.47
  6. Step 6: Final answer
    x = 3,398.58

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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.