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Finding the Fourth Proportional to 10,058.24, 13,881.24 and 5,582.86

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Solution

The fourth proportional to 10,058.24, 13,881.24 and 5,582.86 is: 7,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.24 : 13,881.24 = 5,582.86 : x
  2. Step 2: Convert to fraction form
    10,058.24/13,881.24 = 5,582.86/x
  3. Step 3: Cross multiply
    10,058.24x = 13,881.24 × 5,582.86
  4. Step 4: Simplify right side
    10,058.24x = 77,496,984.84
  5. Step 5: Solve for x
    x = 77,496,984.84/10,058.24
  6. Step 6: Final answer
    x = 7,704.82

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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.