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Finding the Fourth Proportional to 10,564.76, 15,855.13 and 7,225.03

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Solution

The fourth proportional to 10,564.76, 15,855.13 and 7,225.03 is: 10,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.76 : 15,855.13 = 7,225.03 : x
  2. Step 2: Convert to fraction form
    10,564.76/15,855.13 = 7,225.03/x
  3. Step 3: Cross multiply
    10,564.76x = 15,855.13 × 7,225.03
  4. Step 4: Simplify right side
    10,564.76x = 114,553,778.11
  5. Step 5: Solve for x
    x = 114,553,778.11/10,564.76
  6. Step 6: Final answer
    x = 10,843.01

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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.