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Finding the Fourth Proportional to 11,306.16, 15,602.40 and 6,338.16

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Solution

The fourth proportional to 11,306.16, 15,602.40 and 6,338.16 is: 8,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,306.16 : 15,602.40 = 6,338.16 : x
  2. Step 2: Convert to fraction form
    11,306.16/15,602.40 = 6,338.16/x
  3. Step 3: Cross multiply
    11,306.16x = 15,602.40 × 6,338.16
  4. Step 4: Simplify right side
    11,306.16x = 98,890,507.58
  5. Step 5: Solve for x
    x = 98,890,507.58/11,306.16
  6. Step 6: Final answer
    x = 8,746.60

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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.