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Finding the Fourth Proportional to 7,256.36, 10,006.08 and 6,304.16

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Solution

The fourth proportional to 7,256.36, 10,006.08 and 6,304.16 is: 8,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.36 : 10,006.08 = 6,304.16 : x
  2. Step 2: Convert to fraction form
    7,256.36/10,006.08 = 6,304.16/x
  3. Step 3: Cross multiply
    7,256.36x = 10,006.08 × 6,304.16
  4. Step 4: Simplify right side
    7,256.36x = 63,079,929.29
  5. Step 5: Solve for x
    x = 63,079,929.29/7,256.36
  6. Step 6: Final answer
    x = 8,693.05

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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.