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Finding the Fourth Proportional to 10,610.63, 14,624.14 and 7,771.98

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Solution

The fourth proportional to 10,610.63, 14,624.14 and 7,771.98 is: 10,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.63 : 14,624.14 = 7,771.98 : x
  2. Step 2: Convert to fraction form
    10,610.63/14,624.14 = 7,771.98/x
  3. Step 3: Cross multiply
    10,610.63x = 14,624.14 × 7,771.98
  4. Step 4: Simplify right side
    10,610.63x = 113,658,444.72
  5. Step 5: Solve for x
    x = 113,658,444.72/10,610.63
  6. Step 6: Final answer
    x = 10,711.75

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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.