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Finding the Fourth Proportional to 11,570.10, 15,966.72 and 6,264.92

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Solution

The fourth proportional to 11,570.10, 15,966.72 and 6,264.92 is: 8,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.10 : 15,966.72 = 6,264.92 : x
  2. Step 2: Convert to fraction form
    11,570.10/15,966.72 = 6,264.92/x
  3. Step 3: Cross multiply
    11,570.10x = 15,966.72 × 6,264.92
  4. Step 4: Simplify right side
    11,570.10x = 100,030,143.63
  5. Step 5: Solve for x
    x = 100,030,143.63/11,570.10
  6. Step 6: Final answer
    x = 8,645.57

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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.