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Finding the Fourth Proportional to 7,779.90, 11,665.56 and 5,317.50

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Solution

The fourth proportional to 7,779.90, 11,665.56 and 5,317.50 is: 7,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.90 : 11,665.56 = 5,317.50 : x
  2. Step 2: Convert to fraction form
    7,779.90/11,665.56 = 5,317.50/x
  3. Step 3: Cross multiply
    7,779.90x = 11,665.56 × 5,317.50
  4. Step 4: Simplify right side
    7,779.90x = 62,031,615.30
  5. Step 5: Solve for x
    x = 62,031,615.30/7,779.90
  6. Step 6: Final answer
    x = 7,973.32

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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.