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Finding the Fourth Proportional to 11,377.16, 15,694.92 and 9,802.52

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Solution

The fourth proportional to 11,377.16, 15,694.92 and 9,802.52 is: 13,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.16 : 15,694.92 = 9,802.52 : x
  2. Step 2: Convert to fraction form
    11,377.16/15,694.92 = 9,802.52/x
  3. Step 3: Cross multiply
    11,377.16x = 15,694.92 × 9,802.52
  4. Step 4: Simplify right side
    11,377.16x = 153,849,767.20
  5. Step 5: Solve for x
    x = 153,849,767.20/11,377.16
  6. Step 6: Final answer
    x = 13,522.69

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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.