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Finding the Fourth Proportional to 7,773.40, 11,663.14 and 4,484.76

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Solution

The fourth proportional to 7,773.40, 11,663.14 and 4,484.76 is: 6,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.40 : 11,663.14 = 4,484.76 : x
  2. Step 2: Convert to fraction form
    7,773.40/11,663.14 = 4,484.76/x
  3. Step 3: Cross multiply
    7,773.40x = 11,663.14 × 4,484.76
  4. Step 4: Simplify right side
    7,773.40x = 52,306,383.75
  5. Step 5: Solve for x
    x = 52,306,383.75/7,773.40
  6. Step 6: Final answer
    x = 6,728.89

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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.