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Finding the Fourth Proportional to 10,266.65, 15,368.54 and 6,572.44

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Solution

The fourth proportional to 10,266.65, 15,368.54 and 6,572.44 is: 9,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.65 : 15,368.54 = 6,572.44 : x
  2. Step 2: Convert to fraction form
    10,266.65/15,368.54 = 6,572.44/x
  3. Step 3: Cross multiply
    10,266.65x = 15,368.54 × 6,572.44
  4. Step 4: Simplify right side
    10,266.65x = 101,008,793.39
  5. Step 5: Solve for x
    x = 101,008,793.39/10,266.65
  6. Step 6: Final answer
    x = 9,838.54

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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.