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Finding the Fourth Proportional to 10,354.51, 14,288.73 and 5,877.67

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Solution

The fourth proportional to 10,354.51, 14,288.73 and 5,877.67 is: 8,110.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.51 : 14,288.73 = 5,877.67 : x
  2. Step 2: Convert to fraction form
    10,354.51/14,288.73 = 5,877.67/x
  3. Step 3: Cross multiply
    10,354.51x = 14,288.73 × 5,877.67
  4. Step 4: Simplify right side
    10,354.51x = 83,984,368.22
  5. Step 5: Solve for x
    x = 83,984,368.22/10,354.51
  6. Step 6: Final answer
    x = 8,110.90

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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.