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Finding the Fourth Proportional to 10,583.52, 14,605.04 and 5,867.76

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Solution

The fourth proportional to 10,583.52, 14,605.04 and 5,867.76 is: 8,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.52 : 14,605.04 = 5,867.76 : x
  2. Step 2: Convert to fraction form
    10,583.52/14,605.04 = 5,867.76/x
  3. Step 3: Cross multiply
    10,583.52x = 14,605.04 × 5,867.76
  4. Step 4: Simplify right side
    10,583.52x = 85,698,869.51
  5. Step 5: Solve for x
    x = 85,698,869.51/10,583.52
  6. Step 6: Final answer
    x = 8,097.39

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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.