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Finding the Fourth Proportional to 10,774.33, 14,868.92 and 6,526.18

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Solution

The fourth proportional to 10,774.33, 14,868.92 and 6,526.18 is: 9,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.33 : 14,868.92 = 6,526.18 : x
  2. Step 2: Convert to fraction form
    10,774.33/14,868.92 = 6,526.18/x
  3. Step 3: Cross multiply
    10,774.33x = 14,868.92 × 6,526.18
  4. Step 4: Simplify right side
    10,774.33x = 97,037,227.47
  5. Step 5: Solve for x
    x = 97,037,227.47/10,774.33
  6. Step 6: Final answer
    x = 9,006.34

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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.