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Finding the Fourth Proportional to 11,587.59, 15,989.68 and 7,111.53

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Solution

The fourth proportional to 11,587.59, 15,989.68 and 7,111.53 is: 9,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.59 : 15,989.68 = 7,111.53 : x
  2. Step 2: Convert to fraction form
    11,587.59/15,989.68 = 7,111.53/x
  3. Step 3: Cross multiply
    11,587.59x = 15,989.68 × 7,111.53
  4. Step 4: Simplify right side
    11,587.59x = 113,711,053.45
  5. Step 5: Solve for x
    x = 113,711,053.45/11,587.59
  6. Step 6: Final answer
    x = 9,813.18

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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.