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Finding the Fourth Proportional to 10,582, 14,603.16 and 5,866.59

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Solution

The fourth proportional to 10,582, 14,603.16 and 5,866.59 is: 8,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582 : 14,603.16 = 5,866.59 : x
  2. Step 2: Convert to fraction form
    10,582/14,603.16 = 5,866.59/x
  3. Step 3: Cross multiply
    10,582x = 14,603.16 × 5,866.59
  4. Step 4: Simplify right side
    10,582x = 85,670,752.42
  5. Step 5: Solve for x
    x = 85,670,752.42/10,582
  6. Step 6: Final answer
    x = 8,095.89

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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.