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Finding the Fourth Proportional to 10,579.08, 15,849 and 5,307.90

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Solution

The fourth proportional to 10,579.08, 15,849 and 5,307.90 is: 7,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,579.08 : 15,849 = 5,307.90 : x
  2. Step 2: Convert to fraction form
    10,579.08/15,849 = 5,307.90/x
  3. Step 3: Cross multiply
    10,579.08x = 15,849 × 5,307.90
  4. Step 4: Simplify right side
    10,579.08x = 84,124,907.10
  5. Step 5: Solve for x
    x = 84,124,907.10/10,579.08
  6. Step 6: Final answer
    x = 7,952.01

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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.