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Finding the Fourth Proportional to 7,658.66, 11,477.64 and 4,143.98

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Solution

The fourth proportional to 7,658.66, 11,477.64 and 4,143.98 is: 6,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.66 : 11,477.64 = 4,143.98 : x
  2. Step 2: Convert to fraction form
    7,658.66/11,477.64 = 4,143.98/x
  3. Step 3: Cross multiply
    7,658.66x = 11,477.64 × 4,143.98
  4. Step 4: Simplify right side
    7,658.66x = 47,563,110.61
  5. Step 5: Solve for x
    x = 47,563,110.61/7,658.66
  6. Step 6: Final answer
    x = 6,210.37

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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.