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Finding the Fourth Proportional to 8,322.48, 12,420.01 and 7,435.01

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Solution

The fourth proportional to 8,322.48, 12,420.01 and 7,435.01 is: 11,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.48 : 12,420.01 = 7,435.01 : x
  2. Step 2: Convert to fraction form
    8,322.48/12,420.01 = 7,435.01/x
  3. Step 3: Cross multiply
    8,322.48x = 12,420.01 × 7,435.01
  4. Step 4: Simplify right side
    8,322.48x = 92,342,898.55
  5. Step 5: Solve for x
    x = 92,342,898.55/8,322.48
  6. Step 6: Final answer
    x = 11,095.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.