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Finding the Fourth Proportional to 10,221.16, 15,342.54 and 5,030.68

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Solution

The fourth proportional to 10,221.16, 15,342.54 and 5,030.68 is: 7,551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.16 : 15,342.54 = 5,030.68 : x
  2. Step 2: Convert to fraction form
    10,221.16/15,342.54 = 5,030.68/x
  3. Step 3: Cross multiply
    10,221.16x = 15,342.54 × 5,030.68
  4. Step 4: Simplify right side
    10,221.16x = 77,183,409.13
  5. Step 5: Solve for x
    x = 77,183,409.13/10,221.16
  6. Step 6: Final answer
    x = 7,551.34

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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.