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Finding the Fourth Proportional to 10,877.68, 15,005.20 and 7,096.08

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Solution

The fourth proportional to 10,877.68, 15,005.20 and 7,096.08 is: 9,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.68 : 15,005.20 = 7,096.08 : x
  2. Step 2: Convert to fraction form
    10,877.68/15,005.20 = 7,096.08/x
  3. Step 3: Cross multiply
    10,877.68x = 15,005.20 × 7,096.08
  4. Step 4: Simplify right side
    10,877.68x = 106,478,099.62
  5. Step 5: Solve for x
    x = 106,478,099.62/10,877.68
  6. Step 6: Final answer
    x = 9,788.68

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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.