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Finding the Fourth Proportional to 10,779.28, 14,875.32 and 6,064

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Solution

The fourth proportional to 10,779.28, 14,875.32 and 6,064 is: 8,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,779.28 : 14,875.32 = 6,064 : x
  2. Step 2: Convert to fraction form
    10,779.28/14,875.32 = 6,064/x
  3. Step 3: Cross multiply
    10,779.28x = 14,875.32 × 6,064
  4. Step 4: Simplify right side
    10,779.28x = 90,203,940.48
  5. Step 5: Solve for x
    x = 90,203,940.48/10,779.28
  6. Step 6: Final answer
    x = 8,368.27

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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.