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Finding the Fourth Proportional to 7,777.60, 11,678.55 and 4,497.10

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Solution

The fourth proportional to 7,777.60, 11,678.55 and 4,497.10 is: 6,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.60 : 11,678.55 = 4,497.10 : x
  2. Step 2: Convert to fraction form
    7,777.60/11,678.55 = 4,497.10/x
  3. Step 3: Cross multiply
    7,777.60x = 11,678.55 × 4,497.10
  4. Step 4: Simplify right side
    7,777.60x = 52,519,607.21
  5. Step 5: Solve for x
    x = 52,519,607.21/7,777.60
  6. Step 6: Final answer
    x = 6,752.68

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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.