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Finding the Fourth Proportional to 10,076.08, 15,099 and 7,875.04

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Solution

The fourth proportional to 10,076.08, 15,099 and 7,875.04 is: 11,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076.08 : 15,099 = 7,875.04 : x
  2. Step 2: Convert to fraction form
    10,076.08/15,099 = 7,875.04/x
  3. Step 3: Cross multiply
    10,076.08x = 15,099 × 7,875.04
  4. Step 4: Simplify right side
    10,076.08x = 118,905,228.96
  5. Step 5: Solve for x
    x = 118,905,228.96/10,076.08
  6. Step 6: Final answer
    x = 11,800.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.