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Finding the Fourth Proportional to 10,378.20, 15,567.30 and 2,587

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Solution

The fourth proportional to 10,378.20, 15,567.30 and 2,587 is: 3,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.20 : 15,567.30 = 2,587 : x
  2. Step 2: Convert to fraction form
    10,378.20/15,567.30 = 2,587/x
  3. Step 3: Cross multiply
    10,378.20x = 15,567.30 × 2,587
  4. Step 4: Simplify right side
    10,378.20x = 40,272,605.10
  5. Step 5: Solve for x
    x = 40,272,605.10/10,378.20
  6. Step 6: Final answer
    x = 3,880.50

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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.