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Finding the Fourth Proportional to 11,570.42, 15,966.27 and 6,535.14

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Solution

The fourth proportional to 11,570.42, 15,966.27 and 6,535.14 is: 9,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.42 : 15,966.27 = 6,535.14 : x
  2. Step 2: Convert to fraction form
    11,570.42/15,966.27 = 6,535.14/x
  3. Step 3: Cross multiply
    11,570.42x = 15,966.27 × 6,535.14
  4. Step 4: Simplify right side
    11,570.42x = 104,341,809.73
  5. Step 5: Solve for x
    x = 104,341,809.73/11,570.42
  6. Step 6: Final answer
    x = 9,017.98

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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.