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Finding the Fourth Proportional to 10,223.80, 15,341.34 and 5,029.72

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Solution

The fourth proportional to 10,223.80, 15,341.34 and 5,029.72 is: 7,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.80 : 15,341.34 = 5,029.72 : x
  2. Step 2: Convert to fraction form
    10,223.80/15,341.34 = 5,029.72/x
  3. Step 3: Cross multiply
    10,223.80x = 15,341.34 × 5,029.72
  4. Step 4: Simplify right side
    10,223.80x = 77,162,644.62
  5. Step 5: Solve for x
    x = 77,162,644.62/10,223.80
  6. Step 6: Final answer
    x = 7,547.35

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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.