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Finding the Fourth Proportional to 11,587.32, 15,982.01 and 7,606.98

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Solution

The fourth proportional to 11,587.32, 15,982.01 and 7,606.98 is: 10,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.32 : 15,982.01 = 7,606.98 : x
  2. Step 2: Convert to fraction form
    11,587.32/15,982.01 = 7,606.98/x
  3. Step 3: Cross multiply
    11,587.32x = 15,982.01 × 7,606.98
  4. Step 4: Simplify right side
    11,587.32x = 121,574,792.39
  5. Step 5: Solve for x
    x = 121,574,792.39/11,587.32
  6. Step 6: Final answer
    x = 10,492.05

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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.