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Finding the Fourth Proportional to 10,701.84, 14,773.59 and 8,050.26

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Solution

The fourth proportional to 10,701.84, 14,773.59 and 8,050.26 is: 11,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.84 : 14,773.59 = 8,050.26 : x
  2. Step 2: Convert to fraction form
    10,701.84/14,773.59 = 8,050.26/x
  3. Step 3: Cross multiply
    10,701.84x = 14,773.59 × 8,050.26
  4. Step 4: Simplify right side
    10,701.84x = 118,931,240.63
  5. Step 5: Solve for x
    x = 118,931,240.63/10,701.84
  6. Step 6: Final answer
    x = 11,113.16

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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.