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Finding the Fourth Proportional to 10,851.31, 14,970.04 and 8,328.97

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Solution

The fourth proportional to 10,851.31, 14,970.04 and 8,328.97 is: 11,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.31 : 14,970.04 = 8,328.97 : x
  2. Step 2: Convert to fraction form
    10,851.31/14,970.04 = 8,328.97/x
  3. Step 3: Cross multiply
    10,851.31x = 14,970.04 × 8,328.97
  4. Step 4: Simplify right side
    10,851.31x = 124,685,014.06
  5. Step 5: Solve for x
    x = 124,685,014.06/10,851.31
  6. Step 6: Final answer
    x = 11,490.32

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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.