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Finding the Fourth Proportional to 27,303.40, 40,955.08 and 7,581.95

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Solution

The fourth proportional to 27,303.40, 40,955.08 and 7,581.95 is: 11,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,303.40 : 40,955.08 = 7,581.95 : x
  2. Step 2: Convert to fraction form
    27,303.40/40,955.08 = 7,581.95/x
  3. Step 3: Cross multiply
    27,303.40x = 40,955.08 × 7,581.95
  4. Step 4: Simplify right side
    27,303.40x = 310,519,368.81
  5. Step 5: Solve for x
    x = 310,519,368.81/27,303.40
  6. Step 6: Final answer
    x = 11,372.92

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Why These Related Problems?

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