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Finding the Fourth Proportional to 10,304.06, 14,210.64 and 6,717.65

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Solution

The fourth proportional to 10,304.06, 14,210.64 and 6,717.65 is: 9,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.06 : 14,210.64 = 6,717.65 : x
  2. Step 2: Convert to fraction form
    10,304.06/14,210.64 = 6,717.65/x
  3. Step 3: Cross multiply
    10,304.06x = 14,210.64 × 6,717.65
  4. Step 4: Simplify right side
    10,304.06x = 95,462,034.74
  5. Step 5: Solve for x
    x = 95,462,034.74/10,304.06
  6. Step 6: Final answer
    x = 9,264.51

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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.