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Finding the Fourth Proportional to 10,342.50, 14,275.19 and 5,868.87

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Solution

The fourth proportional to 10,342.50, 14,275.19 and 5,868.87 is: 8,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.50 : 14,275.19 = 5,868.87 : x
  2. Step 2: Convert to fraction form
    10,342.50/14,275.19 = 5,868.87/x
  3. Step 3: Cross multiply
    10,342.50x = 14,275.19 × 5,868.87
  4. Step 4: Simplify right side
    10,342.50x = 83,779,204.99
  5. Step 5: Solve for x
    x = 83,779,204.99/10,342.50
  6. Step 6: Final answer
    x = 8,100.48

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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.