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Finding the Fourth Proportional to 10,312.90, 15,470.16 and 2,917.24

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Solution

The fourth proportional to 10,312.90, 15,470.16 and 2,917.24 is: 4,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.90 : 15,470.16 = 2,917.24 : x
  2. Step 2: Convert to fraction form
    10,312.90/15,470.16 = 2,917.24/x
  3. Step 3: Cross multiply
    10,312.90x = 15,470.16 × 2,917.24
  4. Step 4: Simplify right side
    10,312.90x = 45,130,169.56
  5. Step 5: Solve for x
    x = 45,130,169.56/10,312.90
  6. Step 6: Final answer
    x = 4,376.09

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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.