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Finding the Fourth Proportional to 8,852.16, 12,214.02 and 5,124

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Solution

The fourth proportional to 8,852.16, 12,214.02 and 5,124 is: 7,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.16 : 12,214.02 = 5,124 : x
  2. Step 2: Convert to fraction form
    8,852.16/12,214.02 = 5,124/x
  3. Step 3: Cross multiply
    8,852.16x = 12,214.02 × 5,124
  4. Step 4: Simplify right side
    8,852.16x = 62,584,638.48
  5. Step 5: Solve for x
    x = 62,584,638.48/8,852.16
  6. Step 6: Final answer
    x = 7,069.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.