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Finding the Fourth Proportional to 7,303.20, 10,927.80 and 5,359.20

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Solution

The fourth proportional to 7,303.20, 10,927.80 and 5,359.20 is: 8,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.20 : 10,927.80 = 5,359.20 : x
  2. Step 2: Convert to fraction form
    7,303.20/10,927.80 = 5,359.20/x
  3. Step 3: Cross multiply
    7,303.20x = 10,927.80 × 5,359.20
  4. Step 4: Simplify right side
    7,303.20x = 58,564,265.76
  5. Step 5: Solve for x
    x = 58,564,265.76/7,303.20
  6. Step 6: Final answer
    x = 8,018.99

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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.