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Finding the Fourth Proportional to 10,564.32, 15,841.80 and 3,166.32

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Solution

The fourth proportional to 10,564.32, 15,841.80 and 3,166.32 is: 4,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.32 : 15,841.80 = 3,166.32 : x
  2. Step 2: Convert to fraction form
    10,564.32/15,841.80 = 3,166.32/x
  3. Step 3: Cross multiply
    10,564.32x = 15,841.80 × 3,166.32
  4. Step 4: Simplify right side
    10,564.32x = 50,160,208.18
  5. Step 5: Solve for x
    x = 50,160,208.18/10,564.32
  6. Step 6: Final answer
    x = 4,748.08

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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.