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Finding the Fourth Proportional to 10,333.14, 14,265 and 6,560.16

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Solution

The fourth proportional to 10,333.14, 14,265 and 6,560.16 is: 9,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.14 : 14,265 = 6,560.16 : x
  2. Step 2: Convert to fraction form
    10,333.14/14,265 = 6,560.16/x
  3. Step 3: Cross multiply
    10,333.14x = 14,265 × 6,560.16
  4. Step 4: Simplify right side
    10,333.14x = 93,580,682.40
  5. Step 5: Solve for x
    x = 93,580,682.40/10,333.14
  6. Step 6: Final answer
    x = 9,056.36

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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.