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Finding the Fourth Proportional to 10,869.84, 15,006.60 and 7,154.64

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Solution

The fourth proportional to 10,869.84, 15,006.60 and 7,154.64 is: 9,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.84 : 15,006.60 = 7,154.64 : x
  2. Step 2: Convert to fraction form
    10,869.84/15,006.60 = 7,154.64/x
  3. Step 3: Cross multiply
    10,869.84x = 15,006.60 × 7,154.64
  4. Step 4: Simplify right side
    10,869.84x = 107,366,820.62
  5. Step 5: Solve for x
    x = 107,366,820.62/10,869.84
  6. Step 6: Final answer
    x = 9,877.50

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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.