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Finding the Fourth Proportional to 27,303.98, 40,953.72 and 7,583

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Solution

The fourth proportional to 27,303.98, 40,953.72 and 7,583 is: 11,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.98 : 40,953.72 = 7,583 : x
  2. Step 2: Convert to fraction form
    27,303.98/40,953.72 = 7,583/x
  3. Step 3: Cross multiply
    27,303.98x = 40,953.72 × 7,583
  4. Step 4: Simplify right side
    27,303.98x = 310,552,058.76
  5. Step 5: Solve for x
    x = 310,552,058.76/27,303.98
  6. Step 6: Final answer
    x = 11,373.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.