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Finding the Fourth Proportional to 10,603.68, 14,633.52 and 5,888

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Solution

The fourth proportional to 10,603.68, 14,633.52 and 5,888 is: 8,125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.68 : 14,633.52 = 5,888 : x
  2. Step 2: Convert to fraction form
    10,603.68/14,633.52 = 5,888/x
  3. Step 3: Cross multiply
    10,603.68x = 14,633.52 × 5,888
  4. Step 4: Simplify right side
    10,603.68x = 86,162,165.76
  5. Step 5: Solve for x
    x = 86,162,165.76/10,603.68
  6. Step 6: Final answer
    x = 8,125.69

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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.