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Finding the Fourth Proportional to 7,166.30, 9,888.95 and 4,021.88

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Solution

The fourth proportional to 7,166.30, 9,888.95 and 4,021.88 is: 5,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.30 : 9,888.95 = 4,021.88 : x
  2. Step 2: Convert to fraction form
    7,166.30/9,888.95 = 4,021.88/x
  3. Step 3: Cross multiply
    7,166.30x = 9,888.95 × 4,021.88
  4. Step 4: Simplify right side
    7,166.30x = 39,772,100.67
  5. Step 5: Solve for x
    x = 39,772,100.67/7,166.30
  6. Step 6: Final answer
    x = 5,549.88

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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.