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Finding the Fourth Proportional to 10,362.32, 14,299.97 and 5,646.60

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Solution

The fourth proportional to 10,362.32, 14,299.97 and 5,646.60 is: 7,792.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.32 : 14,299.97 = 5,646.60 : x
  2. Step 2: Convert to fraction form
    10,362.32/14,299.97 = 5,646.60/x
  3. Step 3: Cross multiply
    10,362.32x = 14,299.97 × 5,646.60
  4. Step 4: Simplify right side
    10,362.32x = 80,746,210.60
  5. Step 5: Solve for x
    x = 80,746,210.60/10,362.32
  6. Step 6: Final answer
    x = 7,792.29

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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.