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Finding the Fourth Proportional to 10,538.40, 14,549.78 and 6,763.20

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Solution

The fourth proportional to 10,538.40, 14,549.78 and 6,763.20 is: 9,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.40 : 14,549.78 = 6,763.20 : x
  2. Step 2: Convert to fraction form
    10,538.40/14,549.78 = 6,763.20/x
  3. Step 3: Cross multiply
    10,538.40x = 14,549.78 × 6,763.20
  4. Step 4: Simplify right side
    10,538.40x = 98,402,996.40
  5. Step 5: Solve for x
    x = 98,402,996.40/10,538.40
  6. Step 6: Final answer
    x = 9,337.56

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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.