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Finding the Fourth Proportional to 10,589.48, 15,883.54 and 4,347.88

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Solution

The fourth proportional to 10,589.48, 15,883.54 and 4,347.88 is: 6,521.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.48 : 15,883.54 = 4,347.88 : x
  2. Step 2: Convert to fraction form
    10,589.48/15,883.54 = 4,347.88/x
  3. Step 3: Cross multiply
    10,589.48x = 15,883.54 × 4,347.88
  4. Step 4: Simplify right side
    10,589.48x = 69,059,699.77
  5. Step 5: Solve for x
    x = 69,059,699.77/10,589.48
  6. Step 6: Final answer
    x = 6,521.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.