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Finding the Fourth Proportional to 10,035.84, 15,053.76 and 4,189.26

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Solution

The fourth proportional to 10,035.84, 15,053.76 and 4,189.26 is: 6,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.84 : 15,053.76 = 4,189.26 : x
  2. Step 2: Convert to fraction form
    10,035.84/15,053.76 = 4,189.26/x
  3. Step 3: Cross multiply
    10,035.84x = 15,053.76 × 4,189.26
  4. Step 4: Simplify right side
    10,035.84x = 63,064,114.62
  5. Step 5: Solve for x
    x = 63,064,114.62/10,035.84
  6. Step 6: Final answer
    x = 6,283.89

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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.