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Finding the Fourth Proportional to 10,329.52, 14,255.10 and 5,853.40

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Solution

The fourth proportional to 10,329.52, 14,255.10 and 5,853.40 is: 8,077.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.52 : 14,255.10 = 5,853.40 : x
  2. Step 2: Convert to fraction form
    10,329.52/14,255.10 = 5,853.40/x
  3. Step 3: Cross multiply
    10,329.52x = 14,255.10 × 5,853.40
  4. Step 4: Simplify right side
    10,329.52x = 83,440,802.34
  5. Step 5: Solve for x
    x = 83,440,802.34/10,329.52
  6. Step 6: Final answer
    x = 8,077.90

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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.