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Finding the Fourth Proportional to 11,306.64, 15,602.76 and 6,271.08

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Solution

The fourth proportional to 11,306.64, 15,602.76 and 6,271.08 is: 8,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.64 : 15,602.76 = 6,271.08 : x
  2. Step 2: Convert to fraction form
    11,306.64/15,602.76 = 6,271.08/x
  3. Step 3: Cross multiply
    11,306.64x = 15,602.76 × 6,271.08
  4. Step 4: Simplify right side
    11,306.64x = 97,846,156.18
  5. Step 5: Solve for x
    x = 97,846,156.18/11,306.64
  6. Step 6: Final answer
    x = 8,653.87

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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.