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Finding the Fourth Proportional to 11,347.80, 15,660.84 and 6,569.30

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Solution

The fourth proportional to 11,347.80, 15,660.84 and 6,569.30 is: 9,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.80 : 15,660.84 = 6,569.30 : x
  2. Step 2: Convert to fraction form
    11,347.80/15,660.84 = 6,569.30/x
  3. Step 3: Cross multiply
    11,347.80x = 15,660.84 × 6,569.30
  4. Step 4: Simplify right side
    11,347.80x = 102,880,820.00
  5. Step 5: Solve for x
    x = 102,880,820.00/11,347.80
  6. Step 6: Final answer
    x = 9,066.15

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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.