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Finding the Fourth Proportional to 10,535.76, 15,807.51 and 4,984.92

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Solution

The fourth proportional to 10,535.76, 15,807.51 and 4,984.92 is: 7,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.76 : 15,807.51 = 4,984.92 : x
  2. Step 2: Convert to fraction form
    10,535.76/15,807.51 = 4,984.92/x
  3. Step 3: Cross multiply
    10,535.76x = 15,807.51 × 4,984.92
  4. Step 4: Simplify right side
    10,535.76x = 78,799,172.75
  5. Step 5: Solve for x
    x = 78,799,172.75/10,535.76
  6. Step 6: Final answer
    x = 7,479.21

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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.