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Finding the Fourth Proportional to 10,347.50, 14,280 and 5,871.26

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Solution

The fourth proportional to 10,347.50, 14,280 and 5,871.26 is: 8,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.50 : 14,280 = 5,871.26 : x
  2. Step 2: Convert to fraction form
    10,347.50/14,280 = 5,871.26/x
  3. Step 3: Cross multiply
    10,347.50x = 14,280 × 5,871.26
  4. Step 4: Simplify right side
    10,347.50x = 83,841,592.80
  5. Step 5: Solve for x
    x = 83,841,592.80/10,347.50
  6. Step 6: Final answer
    x = 8,102.59

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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.