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Finding the Fourth Proportional to 10,784.01, 14,882.25 and 6,534.16

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Solution

The fourth proportional to 10,784.01, 14,882.25 and 6,534.16 is: 9,017.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.01 : 14,882.25 = 6,534.16 : x
  2. Step 2: Convert to fraction form
    10,784.01/14,882.25 = 6,534.16/x
  3. Step 3: Cross multiply
    10,784.01x = 14,882.25 × 6,534.16
  4. Step 4: Simplify right side
    10,784.01x = 97,243,002.66
  5. Step 5: Solve for x
    x = 97,243,002.66/10,784.01
  6. Step 6: Final answer
    x = 9,017.34

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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.