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Finding the Fourth Proportional to 10,165.94, 15,250.14 and 3,590.78

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Solution

The fourth proportional to 10,165.94, 15,250.14 and 3,590.78 is: 5,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,165.94 : 15,250.14 = 3,590.78 : x
  2. Step 2: Convert to fraction form
    10,165.94/15,250.14 = 3,590.78/x
  3. Step 3: Cross multiply
    10,165.94x = 15,250.14 × 3,590.78
  4. Step 4: Simplify right side
    10,165.94x = 54,759,897.71
  5. Step 5: Solve for x
    x = 54,759,897.71/10,165.94
  6. Step 6: Final answer
    x = 5,386.60

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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.