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Finding the Fourth Proportional to 8,458.17, 11,672.04 and 4,681.50

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Solution

The fourth proportional to 8,458.17, 11,672.04 and 4,681.50 is: 6,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458.17 : 11,672.04 = 4,681.50 : x
  2. Step 2: Convert to fraction form
    8,458.17/11,672.04 = 4,681.50/x
  3. Step 3: Cross multiply
    8,458.17x = 11,672.04 × 4,681.50
  4. Step 4: Simplify right side
    8,458.17x = 54,642,655.26
  5. Step 5: Solve for x
    x = 54,642,655.26/8,458.17
  6. Step 6: Final answer
    x = 6,460.34

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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.