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Finding the Fourth Proportional to 10,302.15, 15,448.05 and 5,037.57

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Solution

The fourth proportional to 10,302.15, 15,448.05 and 5,037.57 is: 7,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.15 : 15,448.05 = 5,037.57 : x
  2. Step 2: Convert to fraction form
    10,302.15/15,448.05 = 5,037.57/x
  3. Step 3: Cross multiply
    10,302.15x = 15,448.05 × 5,037.57
  4. Step 4: Simplify right side
    10,302.15x = 77,820,633.24
  5. Step 5: Solve for x
    x = 77,820,633.24/10,302.15
  6. Step 6: Final answer
    x = 7,553.82

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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.