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Finding the Fourth Proportional to 10,564.47, 14,575.68 and 7,028.28

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Solution

The fourth proportional to 10,564.47, 14,575.68 and 7,028.28 is: 9,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.47 : 14,575.68 = 7,028.28 : x
  2. Step 2: Convert to fraction form
    10,564.47/14,575.68 = 7,028.28/x
  3. Step 3: Cross multiply
    10,564.47x = 14,575.68 × 7,028.28
  4. Step 4: Simplify right side
    10,564.47x = 102,441,960.23
  5. Step 5: Solve for x
    x = 102,441,960.23/10,564.47
  6. Step 6: Final answer
    x = 9,696.84

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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.