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Finding the Fourth Proportional to 28,293.08, 42,429.58 and 8,297

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Solution

The fourth proportional to 28,293.08, 42,429.58 and 8,297 is: 12,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,293.08 : 42,429.58 = 8,297 : x
  2. Step 2: Convert to fraction form
    28,293.08/42,429.58 = 8,297/x
  3. Step 3: Cross multiply
    28,293.08x = 42,429.58 × 8,297
  4. Step 4: Simplify right side
    28,293.08x = 352,038,225.26
  5. Step 5: Solve for x
    x = 352,038,225.26/28,293.08
  6. Step 6: Final answer
    x = 12,442.56

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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.