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Finding the Fourth Proportional to 10,837.28, 14,948.22 and 7,688

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Solution

The fourth proportional to 10,837.28, 14,948.22 and 7,688 is: 10,604.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.28 : 14,948.22 = 7,688 : x
  2. Step 2: Convert to fraction form
    10,837.28/14,948.22 = 7,688/x
  3. Step 3: Cross multiply
    10,837.28x = 14,948.22 × 7,688
  4. Step 4: Simplify right side
    10,837.28x = 114,921,915.36
  5. Step 5: Solve for x
    x = 114,921,915.36/10,837.28
  6. Step 6: Final answer
    x = 10,604.31

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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.