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Finding the Fourth Proportional to 10,124.52, 13,971.73 and 5,587.23

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Solution

The fourth proportional to 10,124.52, 13,971.73 and 5,587.23 is: 7,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,124.52 : 13,971.73 = 5,587.23 : x
  2. Step 2: Convert to fraction form
    10,124.52/13,971.73 = 5,587.23/x
  3. Step 3: Cross multiply
    10,124.52x = 13,971.73 × 5,587.23
  4. Step 4: Simplify right side
    10,124.52x = 78,063,269.01
  5. Step 5: Solve for x
    x = 78,063,269.01/10,124.52
  6. Step 6: Final answer
    x = 7,710.32

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