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Finding the Fourth Proportional to 8,962.58, 13,435.10 and 5,015.77

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Solution

The fourth proportional to 8,962.58, 13,435.10 and 5,015.77 is: 7,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.58 : 13,435.10 = 5,015.77 : x
  2. Step 2: Convert to fraction form
    8,962.58/13,435.10 = 5,015.77/x
  3. Step 3: Cross multiply
    8,962.58x = 13,435.10 × 5,015.77
  4. Step 4: Simplify right side
    8,962.58x = 67,387,279.27
  5. Step 5: Solve for x
    x = 67,387,279.27/8,962.58
  6. Step 6: Final answer
    x = 7,518.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.