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Finding the Fourth Proportional to 10,173.84, 14,029.20 and 7,526.76

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Solution

The fourth proportional to 10,173.84, 14,029.20 and 7,526.76 is: 10,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.84 : 14,029.20 = 7,526.76 : x
  2. Step 2: Convert to fraction form
    10,173.84/14,029.20 = 7,526.76/x
  3. Step 3: Cross multiply
    10,173.84x = 14,029.20 × 7,526.76
  4. Step 4: Simplify right side
    10,173.84x = 105,594,421.39
  5. Step 5: Solve for x
    x = 105,594,421.39/10,173.84
  6. Step 6: Final answer
    x = 10,379.01

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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.