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Finding the Fourth Proportional to 10,886.30, 16,315.79 and 5,888.47

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Solution

The fourth proportional to 10,886.30, 16,315.79 and 5,888.47 is: 8,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.30 : 16,315.79 = 5,888.47 : x
  2. Step 2: Convert to fraction form
    10,886.30/16,315.79 = 5,888.47/x
  3. Step 3: Cross multiply
    10,886.30x = 16,315.79 × 5,888.47
  4. Step 4: Simplify right side
    10,886.30x = 96,074,969.71
  5. Step 5: Solve for x
    x = 96,074,969.71/10,886.30
  6. Step 6: Final answer
    x = 8,825.31

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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.