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Finding the Fourth Proportional to 8,660.06, 11,957.29 and 5,307.46

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Solution

The fourth proportional to 8,660.06, 11,957.29 and 5,307.46 is: 7,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660.06 : 11,957.29 = 5,307.46 : x
  2. Step 2: Convert to fraction form
    8,660.06/11,957.29 = 5,307.46/x
  3. Step 3: Cross multiply
    8,660.06x = 11,957.29 × 5,307.46
  4. Step 4: Simplify right side
    8,660.06x = 63,462,795.22
  5. Step 5: Solve for x
    x = 63,462,795.22/8,660.06
  6. Step 6: Final answer
    x = 7,328.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.