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Finding the Fourth Proportional to 12,572.83, 17,349.47 and 6,907.29

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Solution

The fourth proportional to 12,572.83, 17,349.47 and 6,907.29 is: 9,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.83 : 17,349.47 = 6,907.29 : x
  2. Step 2: Convert to fraction form
    12,572.83/17,349.47 = 6,907.29/x
  3. Step 3: Cross multiply
    12,572.83x = 17,349.47 × 6,907.29
  4. Step 4: Simplify right side
    12,572.83x = 119,837,746.94
  5. Step 5: Solve for x
    x = 119,837,746.94/12,572.83
  6. Step 6: Final answer
    x = 9,531.48

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