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Finding the Fourth Proportional to 10,177.99, 14,038.45 and 8,661.67

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Solution

The fourth proportional to 10,177.99, 14,038.45 and 8,661.67 is: 11,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.99 : 14,038.45 = 8,661.67 : x
  2. Step 2: Convert to fraction form
    10,177.99/14,038.45 = 8,661.67/x
  3. Step 3: Cross multiply
    10,177.99x = 14,038.45 × 8,661.67
  4. Step 4: Simplify right side
    10,177.99x = 121,596,421.21
  5. Step 5: Solve for x
    x = 121,596,421.21/10,177.99
  6. Step 6: Final answer
    x = 11,947.00

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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.