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Finding the Fourth Proportional to 10,319.53, 14,240.82 and 5,603.84

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Solution

The fourth proportional to 10,319.53, 14,240.82 and 5,603.84 is: 7,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.53 : 14,240.82 = 5,603.84 : x
  2. Step 2: Convert to fraction form
    10,319.53/14,240.82 = 5,603.84/x
  3. Step 3: Cross multiply
    10,319.53x = 14,240.82 × 5,603.84
  4. Step 4: Simplify right side
    10,319.53x = 79,803,326.36
  5. Step 5: Solve for x
    x = 79,803,326.36/10,319.53
  6. Step 6: Final answer
    x = 7,733.23

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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.