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Finding the Fourth Proportional to 8,160, 12,235.20 and 4,455.84

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Solution

The fourth proportional to 8,160, 12,235.20 and 4,455.84 is: 6,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160 : 12,235.20 = 4,455.84 : x
  2. Step 2: Convert to fraction form
    8,160/12,235.20 = 4,455.84/x
  3. Step 3: Cross multiply
    8,160x = 12,235.20 × 4,455.84
  4. Step 4: Simplify right side
    8,160x = 54,518,093.57
  5. Step 5: Solve for x
    x = 54,518,093.57/8,160
  6. Step 6: Final answer
    x = 6,681.14

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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.