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Finding the Fourth Proportional to 10,036.98, 15,027.66 and 7,564.32

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Solution

The fourth proportional to 10,036.98, 15,027.66 and 7,564.32 is: 11,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.98 : 15,027.66 = 7,564.32 : x
  2. Step 2: Convert to fraction form
    10,036.98/15,027.66 = 7,564.32/x
  3. Step 3: Cross multiply
    10,036.98x = 15,027.66 × 7,564.32
  4. Step 4: Simplify right side
    10,036.98x = 113,674,029.09
  5. Step 5: Solve for x
    x = 113,674,029.09/10,036.98
  6. Step 6: Final answer
    x = 11,325.52

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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.