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Finding the Fourth Proportional to 11,089.80, 15,297.84 and 7,106.40

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Solution

The fourth proportional to 11,089.80, 15,297.84 and 7,106.40 is: 9,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089.80 : 15,297.84 = 7,106.40 : x
  2. Step 2: Convert to fraction form
    11,089.80/15,297.84 = 7,106.40/x
  3. Step 3: Cross multiply
    11,089.80x = 15,297.84 × 7,106.40
  4. Step 4: Simplify right side
    11,089.80x = 108,712,570.18
  5. Step 5: Solve for x
    x = 108,712,570.18/11,089.80
  6. Step 6: Final answer
    x = 9,802.93

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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.