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Finding the Fourth Proportional to 10,470.33, 15,699.33 and 4,230.54

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Solution

The fourth proportional to 10,470.33, 15,699.33 and 4,230.54 is: 6,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.33 : 15,699.33 = 4,230.54 : x
  2. Step 2: Convert to fraction form
    10,470.33/15,699.33 = 4,230.54/x
  3. Step 3: Cross multiply
    10,470.33x = 15,699.33 × 4,230.54
  4. Step 4: Simplify right side
    10,470.33x = 66,416,643.54
  5. Step 5: Solve for x
    x = 66,416,643.54/10,470.33
  6. Step 6: Final answer
    x = 6,343.32

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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.