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Finding the Fourth Proportional to 7,680.64, 10,598.68 and 4,536.24

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Solution

The fourth proportional to 7,680.64, 10,598.68 and 4,536.24 is: 6,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.64 : 10,598.68 = 4,536.24 : x
  2. Step 2: Convert to fraction form
    7,680.64/10,598.68 = 4,536.24/x
  3. Step 3: Cross multiply
    7,680.64x = 10,598.68 × 4,536.24
  4. Step 4: Simplify right side
    7,680.64x = 48,078,156.16
  5. Step 5: Solve for x
    x = 48,078,156.16/7,680.64
  6. Step 6: Final answer
    x = 6,259.65

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