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Finding the Fourth Proportional to 10,636.16, 14,681.12 and 6,161.00

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Solution

The fourth proportional to 10,636.16, 14,681.12 and 6,161.00 is: 8,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.16 : 14,681.12 = 6,161.00 : x
  2. Step 2: Convert to fraction form
    10,636.16/14,681.12 = 6,161.00/x
  3. Step 3: Cross multiply
    10,636.16x = 14,681.12 × 6,161.00
  4. Step 4: Simplify right side
    10,636.16x = 90,450,276.11
  5. Step 5: Solve for x
    x = 90,450,276.11/10,636.16
  6. Step 6: Final answer
    x = 8,504.04

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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.