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Finding the Fourth Proportional to 10,605.33, 15,899.31 and 4,678.02

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Solution

The fourth proportional to 10,605.33, 15,899.31 and 4,678.02 is: 7,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.33 : 15,899.31 = 4,678.02 : x
  2. Step 2: Convert to fraction form
    10,605.33/15,899.31 = 4,678.02/x
  3. Step 3: Cross multiply
    10,605.33x = 15,899.31 × 4,678.02
  4. Step 4: Simplify right side
    10,605.33x = 74,377,290.17
  5. Step 5: Solve for x
    x = 74,377,290.17/10,605.33
  6. Step 6: Final answer
    x = 7,013.20

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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.