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Finding the Fourth Proportional to 11,557.99, 15,948.81 and 8,534.71

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Solution

The fourth proportional to 11,557.99, 15,948.81 and 8,534.71 is: 11,777.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.99 : 15,948.81 = 8,534.71 : x
  2. Step 2: Convert to fraction form
    11,557.99/15,948.81 = 8,534.71/x
  3. Step 3: Cross multiply
    11,557.99x = 15,948.81 × 8,534.71
  4. Step 4: Simplify right side
    11,557.99x = 136,118,468.20
  5. Step 5: Solve for x
    x = 136,118,468.20/11,557.99
  6. Step 6: Final answer
    x = 11,777.00

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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.