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Finding the Fourth Proportional to 10,877.34, 15,009.44 and 6,400.10

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Solution

The fourth proportional to 10,877.34, 15,009.44 and 6,400.10 is: 8,831.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.34 : 15,009.44 = 6,400.10 : x
  2. Step 2: Convert to fraction form
    10,877.34/15,009.44 = 6,400.10/x
  3. Step 3: Cross multiply
    10,877.34x = 15,009.44 × 6,400.10
  4. Step 4: Simplify right side
    10,877.34x = 96,061,916.94
  5. Step 5: Solve for x
    x = 96,061,916.94/10,877.34
  6. Step 6: Final answer
    x = 8,831.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.