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Finding the Fourth Proportional to 8,340.16, 12,510.72 and 2,184

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Solution

The fourth proportional to 8,340.16, 12,510.72 and 2,184 is: 3,276.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.16 : 12,510.72 = 2,184 : x
  2. Step 2: Convert to fraction form
    8,340.16/12,510.72 = 2,184/x
  3. Step 3: Cross multiply
    8,340.16x = 12,510.72 × 2,184
  4. Step 4: Simplify right side
    8,340.16x = 27,323,412.48
  5. Step 5: Solve for x
    x = 27,323,412.48/8,340.16
  6. Step 6: Final answer
    x = 3,276.13

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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.