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Finding the Fourth Proportional to 7,670.30, 11,520.02 and 4,768.88

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Solution

The fourth proportional to 7,670.30, 11,520.02 and 4,768.88 is: 7,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.30 : 11,520.02 = 4,768.88 : x
  2. Step 2: Convert to fraction form
    7,670.30/11,520.02 = 4,768.88/x
  3. Step 3: Cross multiply
    7,670.30x = 11,520.02 × 4,768.88
  4. Step 4: Simplify right side
    7,670.30x = 54,937,547.30
  5. Step 5: Solve for x
    x = 54,937,547.30/7,670.30
  6. Step 6: Final answer
    x = 7,162.38

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