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Finding the Fourth Proportional to 11,002.35, 15,178.48 and 7,364.03

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Solution

The fourth proportional to 11,002.35, 15,178.48 and 7,364.03 is: 10,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.35 : 15,178.48 = 7,364.03 : x
  2. Step 2: Convert to fraction form
    11,002.35/15,178.48 = 7,364.03/x
  3. Step 3: Cross multiply
    11,002.35x = 15,178.48 × 7,364.03
  4. Step 4: Simplify right side
    11,002.35x = 111,774,801.61
  5. Step 5: Solve for x
    x = 111,774,801.61/11,002.35
  6. Step 6: Final answer
    x = 10,159.18

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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.