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Finding the Fourth Proportional to 7,696.66, 11,536.47 and 6,316.06

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Solution

The fourth proportional to 7,696.66, 11,536.47 and 6,316.06 is: 9,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.66 : 11,536.47 = 6,316.06 : x
  2. Step 2: Convert to fraction form
    7,696.66/11,536.47 = 6,316.06/x
  3. Step 3: Cross multiply
    7,696.66x = 11,536.47 × 6,316.06
  4. Step 4: Simplify right side
    7,696.66x = 72,865,036.71
  5. Step 5: Solve for x
    x = 72,865,036.71/7,696.66
  6. Step 6: Final answer
    x = 9,467.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.