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Finding the Fourth Proportional to 10,300.70, 15,451.05 and 2,509.52

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Solution

The fourth proportional to 10,300.70, 15,451.05 and 2,509.52 is: 3,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.70 : 15,451.05 = 2,509.52 : x
  2. Step 2: Convert to fraction form
    10,300.70/15,451.05 = 2,509.52/x
  3. Step 3: Cross multiply
    10,300.70x = 15,451.05 × 2,509.52
  4. Step 4: Simplify right side
    10,300.70x = 38,774,641.74
  5. Step 5: Solve for x
    x = 38,774,641.74/10,300.70
  6. Step 6: Final answer
    x = 3,764.27

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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.