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Finding the Fourth Proportional to 10,390.68, 15,588.36 and 3,465

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Solution

The fourth proportional to 10,390.68, 15,588.36 and 3,465 is: 5,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,390.68 : 15,588.36 = 3,465 : x
  2. Step 2: Convert to fraction form
    10,390.68/15,588.36 = 3,465/x
  3. Step 3: Cross multiply
    10,390.68x = 15,588.36 × 3,465
  4. Step 4: Simplify right side
    10,390.68x = 54,013,667.40
  5. Step 5: Solve for x
    x = 54,013,667.40/10,390.68
  6. Step 6: Final answer
    x = 5,198.28

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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.