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Finding the Fourth Proportional to 10,655.24, 14,699.58 and 7,071.08

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Solution

The fourth proportional to 10,655.24, 14,699.58 and 7,071.08 is: 9,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.24 : 14,699.58 = 7,071.08 : x
  2. Step 2: Convert to fraction form
    10,655.24/14,699.58 = 7,071.08/x
  3. Step 3: Cross multiply
    10,655.24x = 14,699.58 × 7,071.08
  4. Step 4: Simplify right side
    10,655.24x = 103,941,906.15
  5. Step 5: Solve for x
    x = 103,941,906.15/10,655.24
  6. Step 6: Final answer
    x = 9,755.00

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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.