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Finding the Fourth Proportional to 11,307.29, 15,604.11 and 6,271.16

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Solution

The fourth proportional to 11,307.29, 15,604.11 and 6,271.16 is: 8,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.29 : 15,604.11 = 6,271.16 : x
  2. Step 2: Convert to fraction form
    11,307.29/15,604.11 = 6,271.16/x
  3. Step 3: Cross multiply
    11,307.29x = 15,604.11 × 6,271.16
  4. Step 4: Simplify right side
    11,307.29x = 97,855,792.45
  5. Step 5: Solve for x
    x = 97,855,792.45/11,307.29
  6. Step 6: Final answer
    x = 8,654.23

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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.