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Finding the Fourth Proportional to 8,298.93, 12,428.49 and 4,778.25

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Solution

The fourth proportional to 8,298.93, 12,428.49 and 4,778.25 is: 7,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.93 : 12,428.49 = 4,778.25 : x
  2. Step 2: Convert to fraction form
    8,298.93/12,428.49 = 4,778.25/x
  3. Step 3: Cross multiply
    8,298.93x = 12,428.49 × 4,778.25
  4. Step 4: Simplify right side
    8,298.93x = 59,386,432.34
  5. Step 5: Solve for x
    x = 59,386,432.34/8,298.93
  6. Step 6: Final answer
    x = 7,155.91

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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.