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Finding the Fourth Proportional to 8,720.64, 13,082.16 and 4,045.20

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Solution

The fourth proportional to 8,720.64, 13,082.16 and 4,045.20 is: 6,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720.64 : 13,082.16 = 4,045.20 : x
  2. Step 2: Convert to fraction form
    8,720.64/13,082.16 = 4,045.20/x
  3. Step 3: Cross multiply
    8,720.64x = 13,082.16 × 4,045.20
  4. Step 4: Simplify right side
    8,720.64x = 52,919,953.63
  5. Step 5: Solve for x
    x = 52,919,953.63/8,720.64
  6. Step 6: Final answer
    x = 6,068.36

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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.