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Finding the Fourth Proportional to 10,220.16, 15,341.04 and 5,029.68

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Solution

The fourth proportional to 10,220.16, 15,341.04 and 5,029.68 is: 7,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.16 : 15,341.04 = 5,029.68 : x
  2. Step 2: Convert to fraction form
    10,220.16/15,341.04 = 5,029.68/x
  3. Step 3: Cross multiply
    10,220.16x = 15,341.04 × 5,029.68
  4. Step 4: Simplify right side
    10,220.16x = 77,160,522.07
  5. Step 5: Solve for x
    x = 77,160,522.07/10,220.16
  6. Step 6: Final answer
    x = 7,549.84

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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.