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Finding the Fourth Proportional to 10,319.94, 15,479.91 and 2,924.40

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Solution

The fourth proportional to 10,319.94, 15,479.91 and 2,924.40 is: 4,386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.94 : 15,479.91 = 2,924.40 : x
  2. Step 2: Convert to fraction form
    10,319.94/15,479.91 = 2,924.40/x
  3. Step 3: Cross multiply
    10,319.94x = 15,479.91 × 2,924.40
  4. Step 4: Simplify right side
    10,319.94x = 45,269,462.50
  5. Step 5: Solve for x
    x = 45,269,462.50/10,319.94
  6. Step 6: Final answer
    x = 4,386.60

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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.