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Finding the Fourth Proportional to 7,031.30, 10,528.65 and 6,823.53

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Solution

The fourth proportional to 7,031.30, 10,528.65 and 6,823.53 is: 10,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.30 : 10,528.65 = 6,823.53 : x
  2. Step 2: Convert to fraction form
    7,031.30/10,528.65 = 6,823.53/x
  3. Step 3: Cross multiply
    7,031.30x = 10,528.65 × 6,823.53
  4. Step 4: Simplify right side
    7,031.30x = 71,842,559.13
  5. Step 5: Solve for x
    x = 71,842,559.13/7,031.30
  6. Step 6: Final answer
    x = 10,217.54

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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.