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Finding the Fourth Proportional to 10,030.50, 13,820.22 and 7,037.96

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Solution

The fourth proportional to 10,030.50, 13,820.22 and 7,037.96 is: 9,697.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.50 : 13,820.22 = 7,037.96 : x
  2. Step 2: Convert to fraction form
    10,030.50/13,820.22 = 7,037.96/x
  3. Step 3: Cross multiply
    10,030.50x = 13,820.22 × 7,037.96
  4. Step 4: Simplify right side
    10,030.50x = 97,266,086.45
  5. Step 5: Solve for x
    x = 97,266,086.45/10,030.50
  6. Step 6: Final answer
    x = 9,697.03

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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.