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Finding the Fourth Proportional to 10,506.17, 14,497.94 and 6,527.21

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Solution

The fourth proportional to 10,506.17, 14,497.94 and 6,527.21 is: 9,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.17 : 14,497.94 = 6,527.21 : x
  2. Step 2: Convert to fraction form
    10,506.17/14,497.94 = 6,527.21/x
  3. Step 3: Cross multiply
    10,506.17x = 14,497.94 × 6,527.21
  4. Step 4: Simplify right side
    10,506.17x = 94,631,042.78
  5. Step 5: Solve for x
    x = 94,631,042.78/10,506.17
  6. Step 6: Final answer
    x = 9,007.19

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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.