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Finding the Fourth Proportional to 10,322.20, 15,483.30 and 7,730.20

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Solution

The fourth proportional to 10,322.20, 15,483.30 and 7,730.20 is: 11,595.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.20 : 15,483.30 = 7,730.20 : x
  2. Step 2: Convert to fraction form
    10,322.20/15,483.30 = 7,730.20/x
  3. Step 3: Cross multiply
    10,322.20x = 15,483.30 × 7,730.20
  4. Step 4: Simplify right side
    10,322.20x = 119,689,005.66
  5. Step 5: Solve for x
    x = 119,689,005.66/10,322.20
  6. Step 6: Final answer
    x = 11,595.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.