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Finding the Fourth Proportional to 11,572.95, 15,970.68 and 6,537.18

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Solution

The fourth proportional to 11,572.95, 15,970.68 and 6,537.18 is: 9,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.95 : 15,970.68 = 6,537.18 : x
  2. Step 2: Convert to fraction form
    11,572.95/15,970.68 = 6,537.18/x
  3. Step 3: Cross multiply
    11,572.95x = 15,970.68 × 6,537.18
  4. Step 4: Simplify right side
    11,572.95x = 104,403,209.88
  5. Step 5: Solve for x
    x = 104,403,209.88/11,572.95
  6. Step 6: Final answer
    x = 9,021.31

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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.