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Finding the Fourth Proportional to 35,310.53, 52,965.88 and 8,656.64

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Solution

The fourth proportional to 35,310.53, 52,965.88 and 8,656.64 is: 12,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,310.53 : 52,965.88 = 8,656.64 : x
  2. Step 2: Convert to fraction form
    35,310.53/52,965.88 = 8,656.64/x
  3. Step 3: Cross multiply
    35,310.53x = 52,965.88 × 8,656.64
  4. Step 4: Simplify right side
    35,310.53x = 458,506,290.61
  5. Step 5: Solve for x
    x = 458,506,290.61/35,310.53
  6. Step 6: Final answer
    x = 12,984.98

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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.