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Finding the Fourth Proportional to 11,527.66, 15,910.16 and 6,681.71

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Solution

The fourth proportional to 11,527.66, 15,910.16 and 6,681.71 is: 9,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527.66 : 15,910.16 = 6,681.71 : x
  2. Step 2: Convert to fraction form
    11,527.66/15,910.16 = 6,681.71/x
  3. Step 3: Cross multiply
    11,527.66x = 15,910.16 × 6,681.71
  4. Step 4: Simplify right side
    11,527.66x = 106,307,075.17
  5. Step 5: Solve for x
    x = 106,307,075.17/11,527.66
  6. Step 6: Final answer
    x = 9,221.91

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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.