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Finding the Fourth Proportional to 10,029.51, 13,840.50 and 5,553

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Solution

The fourth proportional to 10,029.51, 13,840.50 and 5,553 is: 7,663.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.51 : 13,840.50 = 5,553 : x
  2. Step 2: Convert to fraction form
    10,029.51/13,840.50 = 5,553/x
  3. Step 3: Cross multiply
    10,029.51x = 13,840.50 × 5,553
  4. Step 4: Simplify right side
    10,029.51x = 76,856,296.50
  5. Step 5: Solve for x
    x = 76,856,296.50/10,029.51
  6. Step 6: Final answer
    x = 7,663.02

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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.