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Finding the Fourth Proportional to 10,710, 16,065.20 and 2,919.02

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Solution

The fourth proportional to 10,710, 16,065.20 and 2,919.02 is: 4,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710 : 16,065.20 = 2,919.02 : x
  2. Step 2: Convert to fraction form
    10,710/16,065.20 = 2,919.02/x
  3. Step 3: Cross multiply
    10,710x = 16,065.20 × 2,919.02
  4. Step 4: Simplify right side
    10,710x = 46,894,567.08
  5. Step 5: Solve for x
    x = 46,894,567.08/10,710
  6. Step 6: Final answer
    x = 4,378.58

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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.