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Finding the Fourth Proportional to 10,256.60, 15,384.08 and 2,860.50

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Solution

The fourth proportional to 10,256.60, 15,384.08 and 2,860.50 is: 4,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.60 : 15,384.08 = 2,860.50 : x
  2. Step 2: Convert to fraction form
    10,256.60/15,384.08 = 2,860.50/x
  3. Step 3: Cross multiply
    10,256.60x = 15,384.08 × 2,860.50
  4. Step 4: Simplify right side
    10,256.60x = 44,006,160.84
  5. Step 5: Solve for x
    x = 44,006,160.84/10,256.60
  6. Step 6: Final answer
    x = 4,290.52

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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.