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Finding the Fourth Proportional to 11,307.76, 15,604.71 and 6,271.81

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Solution

The fourth proportional to 11,307.76, 15,604.71 and 6,271.81 is: 8,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,307.76 : 15,604.71 = 6,271.81 : x
  2. Step 2: Convert to fraction form
    11,307.76/15,604.71 = 6,271.81/x
  3. Step 3: Cross multiply
    11,307.76x = 15,604.71 × 6,271.81
  4. Step 4: Simplify right side
    11,307.76x = 97,869,737.21
  5. Step 5: Solve for x
    x = 97,869,737.21/11,307.76
  6. Step 6: Final answer
    x = 8,655.10

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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.