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Finding the Fourth Proportional to 8,720.64, 12,034.35 and 4,741.72

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Solution

The fourth proportional to 8,720.64, 12,034.35 and 4,741.72 is: 6,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.64 : 12,034.35 = 4,741.72 : x
  2. Step 2: Convert to fraction form
    8,720.64/12,034.35 = 4,741.72/x
  3. Step 3: Cross multiply
    8,720.64x = 12,034.35 × 4,741.72
  4. Step 4: Simplify right side
    8,720.64x = 57,063,518.08
  5. Step 5: Solve for x
    x = 57,063,518.08/8,720.64
  6. Step 6: Final answer
    x = 6,543.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.