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Finding the Fourth Proportional to 11,499.84, 15,869.70 and 6,531.84

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Solution

The fourth proportional to 11,499.84, 15,869.70 and 6,531.84 is: 9,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.84 : 15,869.70 = 6,531.84 : x
  2. Step 2: Convert to fraction form
    11,499.84/15,869.70 = 6,531.84/x
  3. Step 3: Cross multiply
    11,499.84x = 15,869.70 × 6,531.84
  4. Step 4: Simplify right side
    11,499.84x = 103,658,341.25
  5. Step 5: Solve for x
    x = 103,658,341.25/11,499.84
  6. Step 6: Final answer
    x = 9,013.89

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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.