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Finding the Fourth Proportional to 10,495, 14,483.10 and 5,779.27

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Solution

The fourth proportional to 10,495, 14,483.10 and 5,779.27 is: 7,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495 : 14,483.10 = 5,779.27 : x
  2. Step 2: Convert to fraction form
    10,495/14,483.10 = 5,779.27/x
  3. Step 3: Cross multiply
    10,495x = 14,483.10 × 5,779.27
  4. Step 4: Simplify right side
    10,495x = 83,701,745.34
  5. Step 5: Solve for x
    x = 83,701,745.34/10,495
  6. Step 6: Final answer
    x = 7,975.39

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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.