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Finding the Fourth Proportional to 10,753.84, 14,841.04 and 6,038.48

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Solution

The fourth proportional to 10,753.84, 14,841.04 and 6,038.48 is: 8,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,753.84 : 14,841.04 = 6,038.48 : x
  2. Step 2: Convert to fraction form
    10,753.84/14,841.04 = 6,038.48/x
  3. Step 3: Cross multiply
    10,753.84x = 14,841.04 × 6,038.48
  4. Step 4: Simplify right side
    10,753.84x = 89,617,323.22
  5. Step 5: Solve for x
    x = 89,617,323.22/10,753.84
  6. Step 6: Final answer
    x = 8,333.52

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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.