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Finding the Fourth Proportional to 11,306.64, 15,602.73 and 6,271.32

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Solution

The fourth proportional to 11,306.64, 15,602.73 and 6,271.32 is: 8,654.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.64 : 15,602.73 = 6,271.32 : x
  2. Step 2: Convert to fraction form
    11,306.64/15,602.73 = 6,271.32/x
  3. Step 3: Cross multiply
    11,306.64x = 15,602.73 × 6,271.32
  4. Step 4: Simplify right side
    11,306.64x = 97,849,712.70
  5. Step 5: Solve for x
    x = 97,849,712.70/11,306.64
  6. Step 6: Final answer
    x = 8,654.18

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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.