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Finding the Fourth Proportional to 11,523.51, 15,903.95 and 6,488.70

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Solution

The fourth proportional to 11,523.51, 15,903.95 and 6,488.70 is: 8,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.51 : 15,903.95 = 6,488.70 : x
  2. Step 2: Convert to fraction form
    11,523.51/15,903.95 = 6,488.70/x
  3. Step 3: Cross multiply
    11,523.51x = 15,903.95 × 6,488.70
  4. Step 4: Simplify right side
    11,523.51x = 103,195,927.92
  5. Step 5: Solve for x
    x = 103,195,927.92/11,523.51
  6. Step 6: Final answer
    x = 8,955.25

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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.