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Finding the Fourth Proportional to 11,386.53, 15,707.52 and 9,264.42

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Solution

The fourth proportional to 11,386.53, 15,707.52 and 9,264.42 is: 12,780.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386.53 : 15,707.52 = 9,264.42 : x
  2. Step 2: Convert to fraction form
    11,386.53/15,707.52 = 9,264.42/x
  3. Step 3: Cross multiply
    11,386.53x = 15,707.52 × 9,264.42
  4. Step 4: Simplify right side
    11,386.53x = 145,521,062.44
  5. Step 5: Solve for x
    x = 145,521,062.44/11,386.53
  6. Step 6: Final answer
    x = 12,780.11

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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.