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Finding the Fourth Proportional to 11,570.78, 15,967.53 and 6,534.68

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Solution

The fourth proportional to 11,570.78, 15,967.53 and 6,534.68 is: 9,017.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.78 : 15,967.53 = 6,534.68 : x
  2. Step 2: Convert to fraction form
    11,570.78/15,967.53 = 6,534.68/x
  3. Step 3: Cross multiply
    11,570.78x = 15,967.53 × 6,534.68
  4. Step 4: Simplify right side
    11,570.78x = 104,342,619.10
  5. Step 5: Solve for x
    x = 104,342,619.10/11,570.78
  6. Step 6: Final answer
    x = 9,017.77

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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.