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Finding the Fourth Proportional to 10,507.62, 14,507.27 and 6,534.14

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Solution

The fourth proportional to 10,507.62, 14,507.27 and 6,534.14 is: 9,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.62 : 14,507.27 = 6,534.14 : x
  2. Step 2: Convert to fraction form
    10,507.62/14,507.27 = 6,534.14/x
  3. Step 3: Cross multiply
    10,507.62x = 14,507.27 × 6,534.14
  4. Step 4: Simplify right side
    10,507.62x = 94,792,533.20
  5. Step 5: Solve for x
    x = 94,792,533.20/10,507.62
  6. Step 6: Final answer
    x = 9,021.31

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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.