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Finding the Fourth Proportional to 10,284.67, 15,428.37 and 3,710.00

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Solution

The fourth proportional to 10,284.67, 15,428.37 and 3,710.00 is: 5,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.67 : 15,428.37 = 3,710.00 : x
  2. Step 2: Convert to fraction form
    10,284.67/15,428.37 = 3,710.00/x
  3. Step 3: Cross multiply
    10,284.67x = 15,428.37 × 3,710.00
  4. Step 4: Simplify right side
    10,284.67x = 57,239,305.18
  5. Step 5: Solve for x
    x = 57,239,305.18/10,284.67
  6. Step 6: Final answer
    x = 5,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.